Maths-
General
Easy
Question
The lines
and lie in a same plane. Based on this information answer the following. Equation of the plane containing both lines
- x+5y-3z=10
- x+6y+5z=20
- x+6y-5z=10
- None
Hint:
Product of the coordinates of the points should be zero and then verify the lines.
The correct answer is: x+6y-5z=10
Given That:
The lines
and lie in a same plane. Based on this information answer the following. Equation of the plane containing both lines
>>> The directional ratios of the given lines are: (3,2,1) and (1,-1,1-
).
>>> Therefore, both remains in the same plane. Then,
3 -2+1-
=0
= 2.
>>> The value of
is 2.
>>> the equation of the line should satisfy the above points (3,2,1) and (1,-1,1-
) becomes:
x+6y-5z=10.
>>> Therefore, the equation of the line becomes x+6y-5z=10.
Therefore, the equation of the line becomes x+6y-5z=10.
Related Questions to study
maths-
The lines
and
lie in a same plane. Based on this information answer the following. Point of intersection of these lines is
The lines
and
lie in a same plane. Based on this information answer the following. Point of intersection of these lines is
maths-General
chemistry-
The given pair is :
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAYgAAACTCAYAAACUJY7KAAAgAElEQVR4nO3deVzT9R8H8JfCNjYGbAxQUQ4vUEzEFG8yBbUL08zUUkv9eWR4pAmWqeWReGUlVpbYLd4lWKngEWQeUCIWh2KyLQaMjQ128d2Q7+8PZDoZ4xAYsM/z8fg9+n33/ey7zxe37/tzfzrQNE2DIAiCIB7S0doZIAiCIFonEiAIgiAIs0iAIAiCIMwiAYIgCIIwiwQIgiAIwiwSIAiCIAizSIAgCIIgzCIBgiAIgjCLBAiCIAjCLBIgCIIgCLNsJkAYDAZIpVIYDAYolUprZ4cgCKLVs7d2BlqSXCbDh1s/wK8JJ1FOVaJLN0+MHjvWeJ6iKAhcXfH85Enw8/e3Yk4JgiCsr4OtLdaXlZmJN+bOgUSqwPeHfsDg4GDjOalUiiOHD+P7777HgIC+WLF6NQkUBEHYLJuqQTzInmUPbx8fk9c8PDzwRkQE+vTpg8XzFiD75i0cOHIYnp6eVsolQRCE9dhMH0Q1iUQCeYkcFVQF7OzszKYZOmwYOtjZo1SpQcpvv7VwDgmCIFoHmwsQekoNgasAbLYjNGq12TQMBgMo18LbtwdkcnkL55AgCKJ1sLkmJnePrihTqcBgOsHZxcVsmhsZGXBic1Ag+Q9Dhw41OafT6RB34AB0Oh3eiIiAVCrF+XPnMHDgQNJfQdi0mzk50Ol04HK5YLJY0FMUeHw+lAoFGAwGnF1c4OjoWFUAI9oEmwsQxdJ8lCjK4N3dFXfv3q1x/np6Oua9MgMcZycMCA4y6cQ+FBeHY4eP4NbNLIwOHY+01FS8tfxNAACLxcKh48fA4/Fa7F4IojURuLmBoii88fpiiP7Lg04px8RJUzBw8FCgQwdc+uMSrly5gj59/DBz1myEhoVZO8tEHWwuQKjVpWAwmACA4MEjMXLEYJTKS9DDrzdOHT0Gfid3uPPc8PLC+Zg7b57Je6fNmAEA+GjbNkjEYly5cgUnT5/CzydPQpQnhKOjY4vfD0G0FgKBAACw4q2VWLvmbfT07oHonR8Zz0+bPh1yuRz7v9yHl8eNw1tborFqdZS1skvUg80FCACgNFqwWCxk3EgDl8sFACiVSsyZOweb398AjVyB3xLPo7efH0JCQkze27NXLzjzXeHp5YU3IiIAVH3xCYKo4tmlC1QaNZy5NZuSBAIBVq2OglqtxeEvYyFwd6tRECNaD5vrpL6RcR0Ozs64C6YxOAAAj8fDgKAgHP7xON7fuQ0yST7Wrn4bZ5OSalyjTFGCrmToK0GYpVAowLR3gFQkqTVN+PPPwa+fH777/BMYDIYWzB3REDYXIPLFeaDvVsCRzak1zeDgYHj19IU9ywmf7PrM5FxBQSHkBf/B29enlncThG2rbmrt2aN3rWkKCgpx+99bYDpyUVFRYXJOIpEgIT4BQNUSOWmpqRAJhc2XYaJWNtfE5O7ujQ52f0Pg6moxXYmyFGWKErOBxNPPHzKZrLmySBBtmp2dHVj29pCVKcyel0gk2LljKwBg4KBgsNlsAFUrGXywaTN+P5sI+w53MWjwILwxeyYKCvNRptMi4fR59OzVq8Xug7DBAFEkKwGbXb/OZGe+KzQ6rclrHA4blEoDNze35sgeQbR5bA4HLBYLnI400lJT0alzZ9CVlVAoFBCJxHjv/bUAgOkz55p0UjOZTKxc9Ray/v4bBq0aqxYtwMexX0EqleLokaPg8fnWuiWbZXMBQl4kg5dXF4tp9sfGQiqVQiSR4fDh70zOMVkssFlMaDSa5swmQbRZapUKFEUBLBb2ffop+g8aZDx3+uQvAICunfh4rL/pvCEejwcej4fuPt64mZWJuUuXw9vHB94+PibDzYmWYzMBQiQUIikpCRlpf8HB2Rl8vgcS4hPg7+8HBwcHAMD16xnYHxsLUZ4QbgJXfPzx9hpfzJ9/OoZKJgM6nc4at0EQrZ4LjweqogKwAz7/6iuTc29ERECn02HalGew7b31+PtGDuYvWmgyf4jn6gKtWolBgwe3dNaJh9hEgFAqlZBKpfDx8UHswe8BADKZDMXFUohEVZ1f0sJihD//HNa8uwa68nIMHDjQZJQTACTEJ+Dy5TQ4OznjSNxBuLm54dnnnquRjiBsmbOzMzp37oxCkRBisRheXl4m59lsNj7f9wPmzJyFpFPxAGA6H8KOhZ49ekOr1ZKJp1ZmEwGCx+M1SRU1fGI4wieGQy6Xg8ViQaFQkOBAEA+pqKhAYWEhDHqq1r46T09PDBs5EpdTziIl+RRej3jDZE5SUaEMkvx8spKyldncMNemIBAIwOVya5SMCIKooi+nAABarbbWNExm1UQ6VXGJSUGrZ48eqOxoU9vUtFokQBAE0aR4PB66dukCBpNV64rJAJB8/gIM5RXwf+xxk9cF7mSEYGthswGCoijsiYkhnc0E0cTkcjnyCwqgr4TZ0X5isRiTn5+EsnvnonftMjnvyOGA68pBRkZGi+SXqJ3NbTla7XZuLl545imcu3TFuMgYQRCNR1EUfvj+e5w6+TPKdeUoLiqAe6eqIeUBgf0BAPn5+cj8+x8EPNYPY8aOwQtTphg7og0GA079eqpqJOF/eRj35JMY9/RzGBUSAhaLZbX7smU2GyCqlvV+GReuXCUdzQTRxAwGAyoqKmBvb4+Kigqw2WwYDAaLe0HodDqoVCoAVbOx7ezsIJfJ4O3jQ/aQsBKbGMVkTtUXVm/tbBBEu8RgMIwP9Yf/Wxs2m21cdqMaGeZqXTbbB+Hg4AAGg0mqrgRBELWw2QAhFIkA1F2qIQji0dzOzbV2FohGstkAoVQoIehkeU0mgiAe3fbNm3EzJ8fa2SAawWYDBI/Pg0xeYu1sEES7V6IsRZFUau1sEI1gswFCqVAiZPQT1s4GQbR7bBYHbmQoeZtkswEiOzPT2lkgCJugo7SQyeXWzgbRCDY7zFXg7gZvH29rZ4Mg2j1PLy/oKcra2SAawWYDhE6nI8tsEEQLkMvl0GrJb60tstkAoVVrkC+RWDsbBNHuDRs+DFpN7Yv2Ea2XzQYIgbsbWTWSIFoIx5EsZ9MW2Wwn9c2cm3B0dLR2Ngii3dOqyf7tbZXNBgilUlnrblcEQTQdb18f49a+RNtiswGiqKgITLIOE0E0O41GU2MRPqJtsNkAUVhYCLaDg7WzQRDtno+PD+TFMmtng2gEmw0QqrIyODs7WzsbBGET1GZ2liNaP5sNEE7Ozrh79661s0EQNiHr77+tnQWiEWwyQFAUBVVZGZhMprWzQhDtnlarQ99+/a2dDaIRbDJAlJaWgsVkkb0gCKIF+Pv7IS/3trWzQTSCTQaIiooKuAlc0cXT09pZIYh2jzTltl02GSAAgOPkhMrKSmtngyDaPSaTiUJpgbWzQTSCTQYInVYLhUIGtZqsD0MQzY3BYEBeRAJEW2STAUKv10OlUZNhrgTRAhy5XDg7OUFO9oRoc2wyQEgkEri5CEgnNUG0AIFAAC5PQApkbZBNBggXFxd8+dV+GAwGa2eFINo9uVyOmxkZUCgU1s4K0UA2GSAKCgrxxKChpAZBEC2Aw+HAp48/KioqrJ0VooFsMkCIREIMHDnM2tkgCJtQvVBfsVRq5ZwQDWWTAUJaJAWXSzYwIYiWYDAYQFEUmXfUBtlkgOA6OpLNggiihTAYDDg7OUNVVmbtrBANZJNbjqo1GvTs0cPa2WhS19PTUaZS4diRo5DL5ejatStYLBZ8fH0wevRo9OzVy5g2KzMT586dQ58+faDV6qr2C+7QAWHjxkEgEFjxLoj2yoHtAElBgcn3kGj9bLIGwWTW7JyWSqUmo5pEQiEkEonJeYqiTN4jFouN/99gMNQYFfVw+oePH56o9/B5pVJp6TZMDAgKQkhICAIHBEJaUIBraWkI6BeAufPm1fhR9g0IgJtAgMXzFmDZotdx/vwFEhwaICszE1LSnt4gPXr3hiQ/39rZIBrIJgOESqXGZ5/shkh4fxvEAf37Ifm334zHs19+Bad+/dV4/MGmzfhk10fG47NJSVj37hrj8Rd79+LUr6eMxyKhEOvXrjMe387NRdSqSGMQkUqlcHJyMgYJtVqNkGFPGNOr1Wr09Oze4AfRoEGDAFQFm8GDB9eabnBwMFxdXcB3d8eKlStIcKiHlJQUzHplJp5+YixuZGRYOzttDodDmnXbGpsMEJkZN8BxcYa7hweAqhKhXlUBX19fAFUl9xvX/jE+bIGqsdzevj7G48RfT6JTpy7G4xsZN5CdmWk8vn49AwJXV+NxWloahEKhcWjtjYwM+Pr6Go9v5+aCz+caA0h2VhYMd9HgoYFlKhVk8hKwWCwILOy57eTsjJKSUsjzC8hiavXUv39/CAQCODDt4eLiYu3stDlaDVnapq2xqQChVCqxaM4cXEy+hK5d7j/cJRIJXHiO8PapCgDSoiIAgOu9UjVFUfjlx5/Rs2dPAFXNSZdT0zBy1CjjNVL/vGISQI4fO2Ly2TKZDGHjwozHQqEQrs48dOxY9U+QnZUFFxcXY8AoLS1FnwA/eDZw5IeeosDsCLCYLOj1+lrTqcrK4NrZAy6uZDRXffF4PISGhaFbt24oLS21dnbaFIGrK9Chg7Wz0Sxu5+bibFIS9sfG4lBcHM4mJUGn0xnPP9hSUR9SqRQSiQRKpdJ4HaVSabJUicFgQFpqKtRqNdRqNeRyufF/TbnGnM0ECKlUCn8+H3eEImzfvQMcJydMmzwFt3NzkZ2djXmvLzQ+nHNybsKF5wgvLy8AVQ/vEp3SuFRAWVkZVBo1evWqChjV/yCBgYHGz5OI8yFwv1+Cv5FxA1r1/W0XhXlCjJsw3viZIqEInvc+DwCys7PhH9C7wffp5eUF1r2qvFxmeR9glr09OI5OZOOkBiguloLSqiArLrZ2VtoUDtcRsjq+j5Y8+MAFqh66D/bR3czJMXkwZmVm4mZOjvE4JSUFaampxuOzSUlISUkxHifEJyAhPqFBeUqIT8CEsaF4a+VbkBUXY9CgQXBzd4dMJsPL02dgf2wsVq9cjqSkpAbd542MDOz97HNMevY5LF60EOvXrsONGzdMhuZTFAVHR0f8nJCAWa/MxJSJz+PlKRORfu1ak05ItIkAIRIKMSQgEHNWReL0ubOYO28eRgwfjuz0VCxesBBKhQKRq1cb0/v7++HLb7++/36RGP369IWfvz+AqvXtS0pKjU04t3NzQWnvl9alUimEeWL09vMzvnYnNxcc7v022H///RcDBwYZj/+4dAldH6gt3Lp5C336+Df4Xose6LOwNO5cr9dDpdbAoKfA5nAa/DmthUgohEgohFgsttipXz0W/0ENGQRQzd3dAyyOE2Rk4bkGYbPZ8Pa+X8NOSUnB/thY4/H+2FicfeBBejYpyeT47ajVuJ6ebjxev24tTp+63+e3ccNGnD933nh8/NgxJCYmGo+/+HwvMh7oN/r6q69x6+ZN43FaamqDmsC2R2/F/56fiIjly/HjiZ8wbcYMDAgKQmhYGKZNn44fT/wEHx8f/Pb7ZQjz6l+DYLPZCA0Lw/sbN8DHyxeaMjXCxo9DSEgIWCyWMR2Xy0XfgABMmzED4RPDAQBTX56O0LAw8Hi8en9eXdp9gDiblIRxT4zB1piPEL1tq/H1ufP/h6DhIbiVnYPEU6dNOpj9/P0RGna/OWj8hPH4M/2a8TgnJweLFy6Cx70+jDKVCppynfGBXFFRgZw7t9C///1tFimKQuCAAfePtVpwHO+XCBQKGcaEjjUeC4VC8Pj8Bt+vUqFEqVKDwiI5UpJTkJKSgoT4BKSkpCArMxNisRhisRgZGRnQqDS4C1abXERNqVTiySdG4VDcQQhFIsSfOIFpk57F9uitJunEYjH2x8Zi3JNjcOb0GQDAobg49PDshqEDHsfqyKhaq+RKpRLbo7di+dJlmPXKTOyJicHF385CqSkzzg4m6ken05k88I8dOWry4BTmCZGdnX3/WCiEVnu/1iCXy01qIJ06dTHp9H54kEVxsQxuD7zWtWtX+PjcD1BlSh0cHygYmRvZWJvt0VsR//23WLd7t/HhbE5oWBh2x+yGSJRX72s/yMWjGzRyBZQKywUZ4R0RAEAkvNOoz7GkXc+DOBQXh7dXrsKX335t8sAHqr5QMXs/x/9mvwax+A7eW7sOxcVSzJ03r8Z1HozcABASEoKQkBDj8cCBA3HlyhVj5C6WShE+4WnjsVwuh1CSb/zCSiQS/J2RCm/vdcbzsuISeHbtCqDqx1RYWGhS4qovrVYDnU4DQafOOHrgEHx79QSlL0d+fj7UajW4XC7EeXmQlZSgm5srWA5sFBUWgtvGxqevjoyCh8ADq1ZHAaj6N9GqNUg6FY8xoWMxODgYSqUSeXl5uPr776C0GmRnZuLwoUN4ado0fHMoDj/s349ffzqG8vJyfPTJxybXv56ejqCBA5GUmIhVYVWfsT82FkmnzrT4vbYHN/78Ezx3D5PXPDrdP6YoCn369DEeZ1zPqPHwZT7wO0w8fQbjxo8zHmf9/TdmzpppPO76UO25QGR5iK1Y/B8CBwRZTANUNWX9+tNx8L098MrMmXWmHxwcDBcXPiiKqvEcqYu/XzdkX7oEkchyDURRVnVtjaoUBoOhSdeYa7cBYn9sLL7d/xUSky/UOjnHw8MDu2I+wcypU6GvBD7csRMFEgmWvflmg5bi4HK5JukHBAUh/tQvxmOKojB75ix4eXsDACT5+VCoy006wf/JzkKxVApPT0/cvXsXiuISeHt7oTHsWfbgMDvgwz0f1zp8NSUlBa9OmwGOi7PF0U6tEUVRKDHTB/BYf3/8ckyNK1euYHBwMHg8HkJCQnDr5k1cT09H6pUr+OKr/cbAPXDgQEwMC8XvZxONwROo6lOa/Mxz2LYl2qRgMXfePDhyOIjetAHuDz3siNrtj43FzaxMMIQiJMQnIHxiOCRisUkA+Onoj3hx6ovGY4lYbDJSTFpQYFIjeHBACADI5CXG/6/T6XDgu4PY8fF242tsNsMkwAhcXeHm7m48HjN2TL3uJTExEV083NGzv1+9m3JWrnoLOp2uwQHC7d7v8sG+S3PGhY1Exp+/o7jovyZfgLTdNTGp1Wq8NPkF/HTkGE6ePlXnzM2evXphfkQEmB2Brl264OTJnzFl4vNNOhHK09MT72/cYHwA9Q8MxJWracZOcJ1Wi0kTn0dAv34AgKLCQhQXFhsDSEO4ubmBxWSBz3O1OLeB7eCATp2qfiBtrbmExWLh8I/Hsf+7b01eLyiUo6ikpEZ6d3cP2Bv0WPjGYpMfNYvFwpSZsyArKjFZivrwoUNgMJiYNmN6jWu5ubuj0mCos1RHVFm/dh0+3roFn3/zLcLGj8f7b0dh0Zw52PnJxybB9/0PNqD7A6sbSKVSY40aAKgKymR5HK1KZTLCj+lw/+HLZrPhwnM0CQglStNRZ0x2R+PvDwByb92CVmv5QQwAVy+moUBajHxx/ZuNvLy8GtUvIJPJoFBpIS+2vBufVqsB1Uwr5barACESCjE48HEAwLGEE/WuBcydNw+jx40HAAwI6AsXFxfMmj7DpFOsKbFYLOOQWqAqSP144idj9Pf28cHh+CMmX+D6EgqF0Kg0uHknt8bIjwfpystRrq8Kim11b24ul4uszEysXrkcmzduBAC4OLtBWmQa3LVaDcr0FIQPDTdkMBjQqjXo4tUF+gc6sHd/uANdunmiU+fONT7Tzc0NHEenOkt1xL22+uNH8OuFZPj5+2Ppm8sR9mw4isRCxJ84YZJ22vTpJgWaX5MSTQLA7FfnmAy6kMlLTEbfFYn/A/9en53BYICHhwd87tXYDQYDxBIJ2A4OxvQF+TKT+T9XLl4yCUi1UZapwHCwB4/X8P7BhvL29gHf6X4/iVqtrjHQwmAwQKPRwJ3vajxuSu0mQFxPT8e0l6Zh0ouTcfjH4w2uar2/cQM8vbrijlCE4KFD4dGlCyY/85zJSIuWwmAwavSZ1NeDQcFSzUBPUVAUFYDFZLXJjVzUajVWr1yOd5ZGYPHSN7Fm7VoMHz4cWo2qRoejm5sbGAwm5MU1h1mmXKiaPV/9fVEqlbBDBxT8JzEbYMtUKpSUkDkQddm8cSN+/ek4fk48a3zQs1gsRG/bisDho3D6l2MY9pi/yVDTBz383Z07b57x38hgMODMuSRj64DBYMDHn39mPK6oqEBmdrZJK0Be3m2TZwJ9V2cSYASd3EwCiDkGgwEanRZ6jRqu7r71/VM0Go/PQ1lHO4hv5WLRnDmYNWkiFi2Yj4nPjMGcV2dj9crlmPvaHBz44SjsWEyI/y1EwQPLAzWFdtEHsScmBp/t+RSffbHXpPO4IVgsFiKjVmP9mneReuUKDv94HIfi4hC9aQOEeUK8v3FDE+e6eQ14YMRUbbp4dQGlb3jnmbXpdDqMfDwIPr28EJ90f2gjk8kE371mqd/FxQV3QZu9VkBgf/yWWGBS8urh1wc5/2TUOsO8g0GPPgEBj3gX7dfqlcuReOECzp69YLZp5Z1312DRgvlQl2ix6vX/YcGbkWYHh9SGwWCY1DYYDIZJfwabzcbvl/4wfjaDwcBHH+9Gn759jWnE4gKTiaQXklPwRsSSOj/Xkc2BTsXDlUvnAKytd54fJpFIkJKcDA7HEWPGjjHb2lFdqy0qlGH99p3GYfYPd3inpaZiddQ66HTl6NDRfJlfrVbj/Lnz6NKlM3Tl5QBQr2dlm69BbN64EZ/t+RQ/xB1odHCo1jcgAJuityA1/Rr2xMRg2owZ2LBlGw79cNDicMjW5EbGDdiz7CERieusbhYVFYPFZIHTxuZBxP/0EwBg0hTTUSR6vR72hpptsbdv34YD03zp8N9bt6DVqOB0b6ivVquFOO8OGAwm7vz7b430bgIBnNgc0gdRi80bNyLxwgWcOXO21nZ3FouFL/bFwq1LV3j37oefjhzDojlzTGYKP6qHP3va9OkmD9Vr/1xD3weCfPSWLej32GN1Xlfg6gqFSgug5mKb9ZWVmYnZM+dBJpPh4u+/Y+6s2WYn6Xl6eqJSr0FlR9qksPJwga7fY4/Bkc0Bm+1gMjnwQdu3bsO6tyMRuSQCEfPmmMwBsaRNB4jlS5dh66YP8UPcAQwIqnuIWn34+fsj+oMP8NmeT5GWmorwieH4/tAPuJaWhrdWrDRZwbU1kUqlOJuUhDMnf4aTAwvFihIcP3rUbDOJWq3G3j2fgunAwc2bubV+qVormVyOjgxGjQlIGdev47///gOTUdV0UB0g3dzcYNBTNa4DVC1pIi0tNc469/T0xOixo8FgsrDv009rpLezs2vKW2lX1q9dh+M/HcOZM2frXPyRwWBgU/QWSOVSBPTzA8/VBW+teBO3c3NbKLempk2fXq/BGt173yvFa/UoaWRA++brb5B07le8ERGB6G1bEfnO2/juq69M5okAANfJCc58V9B3yy1OzGSz2dDotNDpynHn36wa56VSKYqKinA1PQOnU37H5es36l1ja5MBQi6XY8LYUMjlcmTf+afJgkO1aTNm4PU3FmPfl/tgMBgwODgY8b/+Ao1Gg1nTZ1jtS2xJTk4OtFodtuzcjt1ffIFNmzeB48hF/IkTJjWJlJQUfPP11xjw+EBMenEypr0yHV/t/wqrI6OavIOruYwdOxY8DhM/Hz+K1SuXY39sLJYvXQaRUIRBg4Pwd/oNLJozB5cvXwZQtWxJiaIMt3Oya1yrTFECDxcXk6XdFy99E858V2TfvIXNGzea/F0SExPhInDFb2fPNf+NtiH7Y2Nx+eLFegWHan7+/vj2ux9w7c9UCNy74Kmnnsbi/72KPTExzZzbxnv11amwc3ECAJw5Hd/g98vlcqx+522T1/o99hjKdeXQU6Y1Ej6fD++u3QAA6rLaA0T195MBe3TtWnNgy8mEBDz73HPG/okGjVqk2xiRSEQ/HhhEL1uylNbr9c36WbH79tFTJ002ee3ggQN0Zw83Ov5EfLN+NmFZcnIyPXXSZHpYUBC97t21xu/C7Gmv0OETnqaTk5NpmqbpmN276UkTn6fHjx5Bh094ml737lqapmlamJdHb9qwgfbz7k6HT3iajlqxjBbm5Rmvn5OdTS+cv4AeNmQoPXrESHrblmh69IiRdNSqSDo0eCgdPuFpOmb37pa/8VZo25ZoelhQUKN/j+nXrtGjQ0bSMpmMVigUdNSKZfSmDRuaOJdN52BcHB0cNIR+cnAgnX7tWr3eE7Uq0uLfZ/a0V+jDB7+u8frEZ16ghwUF0V/u/cTi9ZcsiaInhY6h177zZo1zC+cvoEePGEmPHjGSnvnyK8bfRn20qQCRnJxMDxsylI7dt69FPk+hUNAL5y+o8WU9GBdHu7J55AHRCtX2I6x+/cH/FhUV0eXl5bRerzf+9+H3JCcn0/En4umDcXG0Xq+nZTIZffDAAbq8vLx5b6SNiFoVSY8fM5YuKip6pOvEn4inxwwdQmu1Wpqmqwpn40ePeOTrNpeY3bvp0SEj6fGjR9QZJGL37aNzb92ymObxwKAa91peXk6HjnmKHj9mLL1tS7TF9294fzs9ZugQOmrFMrPnRSIRnZSYSC+cv4AeP2Ys/cvJHy1er1qbCRCx+/bRvr6+LRYcqpWXl9PDhgylkxITTV5PvXqVHjZkaIvmhSBak6hVkfSYoUNohULRJNeLPxFPL5y/wHh88MABeszQITV+e63FwQMH6McDg+jxY8bS8SfijTVQvV5PKxQKOikxkV62ZGmdJfaDcXF01KrIGq/nZGfTg/0H08OCgujXZs+q9f1arZYODhpSVUt++kmTmvDD9Ho9vW1LNP344wPo/Pz8Ou+xA03T5sf/tSLbo7fis71f4Ztvv3zkkUqNUb0sxcPLdoiEQnj7+CAlJQX9+/dv0lUUCaI1W792HU7GJ+C3iykNWpamLntiYpCWehVf7IsFg8GARCLBhjVr4ODkXGO9rNbgdm4u0lJTsf/LfcgvKICbuyu8vHyhVqsxYo0S7KoAABrQSURBVPhwzF+00OJzwWAwYO2ad00WEgWqlhIvLpbC3d0DxcVS6HQ6KBUK9OrVC9NmzDCmEwmF+O7bb8Hj8419C+7uHvD29qq1b1an02Ha5Cl4fckCPP3sJMs3WGcIsbJlS5bS/fr0pXOys62aj+rSjblq4LIlS+mpkyaTZgfCJlT3OTRX80/UqsgazbqbNmygly1ZarF03BZt2xJNy2SyFv/cqFWRZvs8HtZqA0R+fj49ddJkOiggyCp/QHNi9+0zqQI/KGpVJB0+4Wk69erVFs4VQbScqFWRtH/33k3WrFSbmS+/Qh88cMDkNWFeHj110uRW2+TUUFGrIuvsm2jOz65PB3urHOZ6PT0d40PD0KN3b1z+63K9h801t5emTQNF6cyu0RS9bSsmTZ2C12a/WmM8M0G0B3tiYnA1+QKSL//e7M2p+7/+CidP/mwygczbxwebordg2wdbauz70dZsj94KL28v9OzVC7dzcyGRSJCVmdksS/tkZWaaLDtyOzcXTk7c+k0PaIFg1SAH4+JoAC3eGV1fKpWKHj1iZK0dT+nXrtFRqyLrHHVAEG1JzO7ddGDvni3axFNUVEQvW7LUbI1h25Zoeva0V1rtKCdLYvfto/2796YnhY6hQ4OH0oN79KYH9+hNewD1HjbbEFGrIulhQ4bS695dSx88cIDetiW63kOSW1WAWLZkKe3K5jVonK41JCUm0pMmPk+LRCKz5/Pz8+lJE5+vtTmKINqSgwcO0L07udVr1EtTE4lE9NRJk8023cbs3m0y56WtUCgUdHl5ufF/CoWC1mq1tEqlarbPFObl0cK8vAbPVWkVAUKr1dJTJ02mR48YaZUvYWPE7N5NvzZ7Vq0d09Wd19u2RDfrPzxBNKeY3bvpzh7WCQ7V8vPz6UEBfc32RaZfu0aPHjGy1bY4tHVW74PIyszE2BEjAAAnT58yWQO+NXsjIgLeXt0RtSrS7HkWi4WPPvkYao0Go0ePara9JQiiuWyP3oqdH0TjatpfVv1denp6YtfnezHnlVk1fkcDgoKQeOE8CiQSrI6MatKNvghYtw8i9epVurOHW5udkaxSqeiZL79idpLLg5KTk+nRI0a2m9EXRPtXPQmutmZUa0hKTKQHBfSttR8k/kQ8HRo8lCyD04SsGiCiVkW2+WGh+fn59ariJicn048HBpHOa6LV27RhAz06ZGSrnHNw8MAB2s+7e61t6bm3btFRqyLp+BPxzb5Wmy1oFX0QbV3q1av044FBdY5ASL92jR42ZGidNQ6CsJaY3bvpoIA+rXp0UHJyMj1+zFiLfXvbtkTTUSuWter7aAtIgGgi1UGirlKXSCSiu3fpSk+a+DyZeU20Kps2bKB9fTq1iYfqwbi4OkcJJiUm0qNDSNPuo7B6J3V7MTg4GG8sjcAzTz1tMV36tXSUKjUInxje5rb6JNqvPTExiP1sL5KSfoeHh4e1s1OnadOnY8jQIVi/dl2taULDwnD46HFs+2ALli9d1oK5az8eabE+uVxu3ImLx+eDw+E06cJdbdGsV2ZCIBCYXVjsUFwcli9fio8++sRkwS2CsKY9MTFYF7kW6TkZ8PKqueFMa2UwGDD3tTkAgO9++L7OdI6OjnhnzTvw9vFpqSy2eQ0OEDqdDkmJSYj56COUaTRgsewBALLiErCYLLzw4guY8NRTKC0txV9pf2LV6qgGZUgsFiMvLw+dPDxgZ2cH5r1Stp2dnclQO4PBAAaD0aBrtwSRUIjJEychcnWkSRBYHRmFb77Zj8NHj1tlRVqCqM36d9fjhRcnN/nOjC1lT0wMpEVSvL9xQ53pTv9yDMtWrEFoWFgL5a5ts29I4oT4BCyZOx8dmfb48tuvMXTYMGONQafTQSaTYef2HZg6NRzlurtYMH9xgzOkVqnww/79SE/9AxW0HW7mFmDxsgV4Nvw5kwCRe+sWMjIycC31MnJy86BQyBAUNAgODg549bVXTTYkb0nePj74Pu4HTH5uEtzc3TFo8GBEf7AFiWdP49z536yWL4Kozfub3rd2Fh7JgoULsXbNu0hJSbFY+Bo1ahT2fbYH2dnZJEDUU71rEJs3bsS769ahe5eu+D3tqsWJM/tjY7Fx0yY8Hz6xUWu4p6Wm4uXwZ+AocMPo0PEWr7EnJgb7v9oHVHTA3Pnz8EZERIM/rzmcTUrCsiVLwWKyoCguxm9XLtVafb+Zk4OcnJtIS00FRVFQKpXoH9gfo0aNgo+vL3g8Hq6npxtLeGmpqdCVl8PZyQlcLhdOzs6ws7Mzu6ihTqczrhPfWmtdBPGo5HI53lrxJt5du85kz5ZqYrEYE58ajwlPTUD0zo+skMO2qV41iD0xMdi66UN09/VHYuLJOmdVvjRtGs6fOw8HB4dGZYrP54Pt7AIHrgt6+/WuM73kv3wIXN0xduzYRn1ecwgNC8Orr76KjBs3sHPXh2Y7/iQSCaZMfgGK4hJs/2gnXpjygrFGJikoQNyBOOTk5IDL5UJaUIDT584CAAoKCpGdmYlP936Ocq0ant26YlzoBCxdvszk30atVuPjXbtw9XI6pLJ8AEDnzp3h4+OD9za8TzY4sgFyuRxKhQICNzfweDwYDAYUSCRwYLNNvpNKpRJ3796FQCCAXC4Hl8tFZWUl7O3t20ShQiAQYPOWaMyZOQuR77xtUkOQSCR44oknMGHceBIcGqjOAJGWmoqIJUvQ3dcfE8MnmI3OD+NyuViwaCGOHTnaqEzl5eWBzbRDhawEWrXGYlo3gQB8rgMM2nJoNJbTtrRVq6NqLbXfzs3FM6HjweA44NDxwzXaf3v26oWQkBCkpKRgecRSuAlcjbWB8InhCJ8Yjp9/SUCpXI7AxwJr7EgFVP07rFm7Fqsjo5Bx5C/4de+BiCURpHptQ/4TiyGTyfDe+vdgb98RFRWVGDZ8GKa+9JIxjcFgwI0bN5B84QLO/nwSOkoPlpMjRo8eixemvNBm+iY8PT2x+7NPERUZBV9fX/Ts1QsSiQRhIUPx5BNj8PkXe62dxTanzgCxZtVydO/SFQCwcNHCel84JCQEbo3cx0FPqaHT3wWlK4e3j3ed6VkOXPT26ws+n9+oz2tO5oKDSCjEe+vfg2tnDyx/c7nFH2BISAjeWBqBPZ/E4O7duybnvLx8ISsuQUVFpcU8DHx8IE4mJEAmL8HQYcMadyNEm1T93for7U989WUMpr48p0YzLIPBQEhICEJCQpCbewvyIhk8vb3q7PRtjfz8/bHirZV4acpUvLE0Ah9v3YInQp+xGByyMjORkZEBjUYDnU4HN4EAgQMGoEfPnmCxWCZ9G2KxGHRlJewZDDg7O0OSnw8en49ync5kdJRcLsedf/+FZ9eu4PP5UCgUxvQ+vr5tZoi7xXkQUqkUYrEIHBdn9OjevcEdrI3tkGWyuNCVlcKJzakzbW5uLnr79UVpaWmbqAoDwLKly3Dtr7/Qp48fpk2fXmf6GS+/DKYDCxUVFSavq9VqMDrS6NrZzfIFaBosZtUXkqKoRuebaLsys/5BL/9e4Do6WkzXyc0VYvGdFspV8wgJCcFHMZ/g461bMPzJ0FqDw9mkJDw5chSeDRsPUZ4QPj4+CBwwAOjQAXs/34upz0/G9uitmDf1BSiVSgBVg2gu/fEHpjz7LCaGhWLSM2GI/+kQysvLTa59599/cfv2bUx6djJGj3gSE8eFYeHL0yEWi1FZablA15pYrEGIhELI5IXgewig1lAt1sn5V9qfcHHkAwwXuLm7W0zL4/NxW/QvKK0erq1k5zlLEuITkJebAxbTAXP/N79e72Gz2Vj+5nKzpQ6lthxFshKL79dotci7lQe//v5wdnZuVL6Jts2rmxsy/s5ASvIpLF+5otbfMYvjDJ1ChZLi4hbOYdMKCQlB7A9xGBwcbPb8/thY7PjgPTwWGIxfkxKNAzmqTZs+HVmZmVgesQQdWE4Q5uWBFxSEvgEB6BsQgMzMLFy+eBED+w3A/xYsqXH9wcHBGBwcDFGeEIe/Pgp7Wo03166vNT+tlcUAkX7tMuxYVR2ZQ4YOabESOofrCL1dJVjsjvg29nsknkmEl7cX2Gw23N2rOtY4HDa0Wh327NoKlgMXXbt4tolq2+FDh+DRyRPSIgl8fX3r/T5zNQ2FQoagwAFgsdhm3mHKuRMP+nIKBRIJmShkg1gOfDArOwAw3+xZrbS0FDSDCRan7tp7a1fbwzghPgGrlrwF374++OKr/TWCQ7W+AQF49/338Oq0GRCJxCZNwYODg3H54kVICsRQKpW1DvgYEzoWx348DSiL4FhH7a01qtcoJj7ftUk+TCwW42ZODrKzszFq1Kha296VCgUCg4fB0dERel0llEollEolHBwcUF5ejqKiItyl9HBgO8DLyxtUZQd4dOnS6puY1Go1fv/jIngcBxgqOzxSn4nBYAAA3Lp5s860BRIJWB0Y0Kg0sG/lfyOiefD4fDjYV8LJ3tFk6PPD3N3d4MDqCGlBQQvnsGVIJBIsW/Q6unUT4I3FS+ocyRcSEoJ5ry+ESCSsca5Mo0GPLl7Q6/W1vl9XXg6FogSeLnzk3bnZ5uZB1dHEdAd8rgMUCstNGPWxJyYGEUuWoF+fvtCWlmG/uztCRj+B7Tt3mH2wX/vrL4j+LUD2nX8sDqud+MwY5N8pAp9vuR0+LTUVpaWlxuMHJ/m1FIVCAQBw4LrAw9HxkT5fo9FApVHfu64My5cuQ2+/3hDfyQXsWPDy9oKbQACRUISTJ38GAPBdHEkTk40S38lFB7uqYef29rX/7Hl8PhgMZrvtq8rKzASDwURHBgPDhw+v13sWLV5sXFKoGofDhqqsDCoBG3KZrNb1q5ydnMDnuyJfeANqdanZNK2ZxQDh7dMdursGMO2AzL+vN/pDDsXF4UbGDeTn58PZ2RnZWVnY9+U+xCecRm+/3mYnt8lLitEnwA8cC1Vdg8EAqUgCJwcOVKrav9CTn5+E5MTf4ObOx03RHQwbMhSXrlxu9P00llqlAgCUq0vRuXPnR7rWgyUflUaNrp6e0Ko18Oreyzg0ODMzC0wmA86OjlCVlYHFcbTYDCeXy81OtiPaPr+A/rhw+ldouY545aVp6NHDG048AYqLqx58Dg4O8PL2wr7P9qDSYADfrY6BD23UkcNHwOW5APY0evWue44VUDXHwtzvgsVkQVVcYrFmYDAYcLdU9Uh5tiaLAWL8hIn4/vtD0KoMUGsoSKXSxq302KGDyUiCwcHBKCgoxIFvDtdIajAYcPTgAQhc3eHMd7VYBSy+15FWUlIKL9/uZtNsj96KFW+txI6dO6BWq2EwGKzWUcR1cgJoHTw69YBW9WhfGqlUCkqrh6Zchxkvz6hzzavYz/bCo08fs7W16tno3t18MXfePIyfML5N9OcQ9afT6UDRHVGq1mDmjFfgyOFAo9Wi1715TTK5HIEDBmDokGFIu3oFhYWF7XLm/fXr10HpKXTl8x9pNFH/wEBUVgD5RRKL6br36AE7Fyd0sm/9K+SaU0cNwgfDggcj8cIFaMtU+HDHTrMTssy5nZsLbx8fMBgMsx2svXr1BIAabaEURUGpUcCR7Qq1xnI1t/oh5sDqCE8zy1iIxWLEfhGLMaFj6zXBr7lxOBy4CjqDoihQWk3jAy6qZps7OTvDoC2HXm+wmFalUsOJ64C+/frX+NFv3rgRXTw9EblqNQ7GHcS6tyMhEglbzZIlRNNgs9mgytVguLviufBwi9+7SxdTIHB0REVFRbsKEFKpFIriErDZdgCAjh0bv9uBnZ0dSrU6uArckXQ6Ab+duwCBexcAgN6gB5PBBACkXPgNlXoN3Dp3Qmlp2aPfRAur8y+0Iuod9PTuAW1pGS5fvIhDcXF1tk9uj96KzMwsi18uvV4PlV6J58LDTV6vqKiAj3cvsJgs+PewPEmuOkB0ZDDg4lyzprFz+w5QtAETRo/HhLGhSIhPsHi95iYQCDB96oyqfDNZyMnJafS1KIqCqqwMXJ4LPDpZDjLVn3MtLdXk30SpVOKJJ5/E3HnzMG36dBw+egQuAgGOHD7Y6HwRrZu0uMRis626TI5yqhLSIglUj1jLbW04HA747lUDblz4nR7pWtKiIrjxXMBgsqBUKjBw8FB4+3ijT0AAeHw+BO5u8Pb1wfzFr6OLZzeICwpx6ffzZq+lVqtxOzcXIqEQUqn0kfLV1OocxeTh4YEt27dh08YN+OPC71g8bzEuXbqMmbNmot9jj1WVTCgKpaWlEAmFWBKxBO+sWYPwieEWrxs0cCCSEhNrlGQeHBFQ2bHi4beZKCosRJlOi7sVDAQ81rfG+YWLFiI0LAxnk5JwIiEeb0dFWb10HLFsKX7+JQF5ebex+8NdGDhwYL06q/fExCA8PNw4RFWr1UJTrgNQNeqrLuVUJRzYpmtj8Xg8k9UvGQwGVBo1pk8le1W0N739/MDmVbWjFxUWgltLjZrrLIAT1wEGgx7lOl1LZrHZcblc9OrVC9f++gu3bmahsLCw0ftfuPB46Mh0hFYhR1cv31r3d6EoCps37wIAGCgNKIoyab4Vi8V4LnQM/PsForS0FJ5eXbHjw12tpi+wXnWsnr16YdfHnyBq3Rr0H9wPSYmJCB4yBGOfHINBAwaiT58+eOnFF/D9d9/j8NEjdQaHOa/ORszu3SZrAsnlclxPT8eslyZDKM6HpPA/5ObmIiszE2q1usY1lEolDsbFQVtqgMGgR+bfWcahn9X6BgQgfGI4PvrkY+z78kv09vPDjp07IRLWHLLWUthsNla+FQXPbl0hlUuxfeu2Gvl+2KGDVSX6B+cv2NnZwdWZB025Dl3qWDyRy+Wig519naWT27m5cHMRNHgPD6L109+r9VeWU8Y9VsxhOzigQ3kFVOrydjkketjwYaigqgqeJXL5I12LUitAqcstpmGxWOjkxgeDyQKDZTpIRCKRYN27a/DrhWT8cPgQwsaPh0Scj6uXUx4pX02p3vtB8Hg8zJ03D7Nmz0bmP/9AJpNBJpOBw3FE0MCgekfizRs3gsVi1yjFp1+7BqFQiLkLIyCTy+Hm5gaZTIZz586BzWZj7rx5xrRnk5Kwd8+nAIAhISPA4nBQJC3E3NfmYMzYMSZpq4WGhYHJYuH1BQtx/XqGVSeLhU8MR3GxFHs+3Y0zZ87Ax9cHo0aNgp+/v0k6qVSKL/dWde6vWbvW5BxFUVAUFwMsRp0TcErlVcOUh40cWWuahPgEvB0VhYGPPw6RUEgm07UzLi4uqCynUGkwoEQut/h7Vem0cOI6QJKfX+fKzW3N0KFD8b27K1j29jh+7HijFyK0t7cHi8uHHSjki/Mspu3S1Q1Syb8olilM+gDd3d3xxb5Y4/Hc+f9D0pkz+O3cBTz97KRG5aupNWjDIKCqGaKxf9Tt0VuhUqnNro3SkBVGQ8PCzKava9RFSEgIWEyW2UkvLW3uvHkYPnw4tm2Nxqolb8G7e2f49vIHl8uFvX1HSMT5oCoo7Ni5y2TUlVKphDAvD++tfw+6uxQEDs44GHcQYePGgaIokx80RVH46ccf8XdGBjp5dcPlixdxNimpxt9OrVaDw2EjoE8fXDx/odWtiks8uoKCQii15eBxHGqdJFeNxXWASl3erjqoqw0ODsb48eNx5swZnDlzBk+MfqJez56bOTkoKysz/hY9PDzg38Mbl87fgIHysvjsqf49UVo9KIoypns4vbOzM8o0Gjw7acqj3GKTeqQ9qRti+dJlGD5ieI0RTVmZmS06u/CxvgH47Iu9rWrbz9u5ucjLy4NQKIQjhwN06IDAwECzfxedTod//v4bBQWFxuVGBg0ehOJ7zUcPBu89MTEAqpq15MUyePv6gMNxBI/Pw7Bhw2p8QZVKJcpKS5GUlISnnn663ZUebZFUKsWRw4fx2Z5PUSAsgHMnHoICByBiSQT6BwYa+wANBgMuX76MD3fsxPXUNDhxHeDfLxBLVrzZqn4rTaF6j+prf/0FN3dXfPFlbI3a+4Oup6cjcsVK434sQFXh69mnJ0Et/Rd+/XyxY/d3tY4MWx0ZhcTTZ+DMrMSp36/WOoQ8LTUVa6JW4+TpU60mODd7gFAqlZjz6msoFAnh5dsdLA4HjkwGqMq7kIjzMWzkyGZbVlitVpt0AKelpmLzps348cRPzfJ57YFYLIa3tzdSr15tcwuLETVRFAW5XA4OhwO9vqoES1dWQqFQGHcrBKp+K9lZWQCqlodwEwig1+tRplKZLUy0dUqlEssWRSDjxp9wEQiw8q0os32nCfEJ2LljK349XXNBv4lPPQPpf7fBZjsg4fzFWgeb7ImJwTex34HvYo+vDhwxW/A6dPAgdm7dBT6fi7nz/1drp3dLa/YAcejgQVz64xKEQiG0KhU4Tk4AAEbHjujRuzfWv/9enVXexpjz6mwolWUIGxeGoUOH4vbt2zj16y/YvefTFl9ioy2RSCR4dtyzOH/xPNlxjmj39sTEIP74jyj8T4hunb3g1bNqAc0SZSn+zkjFxCkvY+PmTSYBMiszE+fOncOOHZvAtqt6/cXpUzHuqckmtS2pVIobGRnY8sFO/Jd3G2y2HSY8NQEzZr1mEpyrXU9Px/GjP+JaWipWrXm7VdTcWqyJqaWlpKTg54STUCqV6NSpU5vaGaulGAwGKBQKk6rxoYMHcf7cebL7FmEzqjf3KSgoNPZPenv71Dr45nZuLhQKBXT39oBgOziAwWCgTKUyeahXL07q4uJiTAtUzTUJGR1mtqB6MycHUZFR8O/l2yq2R223AYKo2/7YWHy4YyemvPgiAvoFGPcR/+iTj62dNYKwWevXrgOTyagxctEaGjyKiWg/Zs2ejcDAQABVIyomPPUUaVYiCGujO2BYPVeabW6kBkEQBGElarUaCoXC2JSVlZmJqBVv4cDRw62ir5TUIAiCIKzk4127cOXiJdixmPDx8YG7u1urCQ4AqUEQBEEQtWj8ercEQRBEu0YCRDulVCqtnQWCINo40sREEARBmEVqEARBEIRZJEAQBEEQZpEAQRAEQZhFAgRBEARhFgkQBEEQhFkkQBAEQRBmkQBBEARBmEUCBEEQBGEWCRAEQRCEWSRAEARBEGaRAEEQBEGYRQIEQRAEYRYJEARBEIRZJEAQBEEQZpEAQRAEQZhFAgRBEARhFgkQBEEQhFkkQBAEQRBmkQBBEARBmPV/pIAj2n36zjoAAAAASUVORK5CYII=)
The given pair is :
![](data:image/png;base64,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)
chemistry-General
chemistry-
Number of stereo centre and stereoisomer of the given compound :
![](data:image/png;base64,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)
Number of stereo centre and stereoisomer of the given compound :
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAHoAAABWCAYAAAAAN4KpAAAHh0lEQVR4nO2dP2gTbxjHn5Tf0CESwQ45RQyl0uugJGRJESE0EaIUjOgQl8RBpLSDUQLGqUWHLCdJp4oKmsWMFRqaItKTdshQ2qAIRVRqh/YyFJKQI7HT8xskITF/ene53F37vh84Cu/dvfcN37z35L17n6cmRESgnHgG9BZA0QZDG53L5WBoaAhMJhOYTCZIp9Pw5s0bWF9fB6/XW29/8eIFAACEQqF6WygU0lm9wUCDsrS0hACAS0tL9bZgMIhnzpzBra0tLJfL6PF4kOO4pvOCwSAGg0Gt5RoeQ45oQRDg4cOHwHEcTE5O1tuTySS8e/cO9vb2wGw2w7lz51rOvXz5spZSjw3/6S2gHZubm1AqlWBiYqJlX6PxFOkYckR///4dLBYLWK3WI4+NRCL1uGwymSASiWig8PhhSKPlwHEcIGJ94zhOb0mGxJBGj46OQqlUgnw+r7eUE4MhjXY6nWCxWGB1dbVlXzqdhnQ6LbvP9fV1+PHjhxryjiWGNJphGJienoZIJFKfIwP8nVfzPA+Tk5MgiiLs7e21nPv169eWtp8/fwLDMPDq1SsQBKGv2g2LztO7rtTm0rXN4/FguVyuz6Fr7bW5dDAYrLe1m0svLy9r/REMg6GNVpO1tTX0+Xy4tbWltxRdMOStuxFRFOH58+cgimJP/Vy9ehVmZmba3u5JwJAPTNRmeXkZGIaBSqUCN27c0FuOLhBhdM1ch8OhsxL9MPytm6IO1GhCUNXoYrEIDx48gI8fP6rZraoUi0UIBAKwtramtxRNUc3oly9fwvj4OFitVojFYnDr1i34/fu3Wt2rQiKRAIfDASMjI/DkyRO4e/cuOY9Ze52f8TyPdrsdp6amUBCEevvi4iKyLIvRaBQLhYLi/vP5PHo8Hszn84r7yGQyyLIshsPhJi2pVAptNhvOzs5itVpV3P9xQLHROzs76Pf70e12Yy6Xa3tMtVrFWCyGLMviwsKCouv0YvT29jb6fD70+Xy4vb3dUePs7CzabDZMpVKKNB4HZBtdKBQwGo0iy7K4uLgo6RxBEHBqagrtdjvyPC/rekqMLhQKGA6HkWVZzGQykjUGAgF0uVyYzWZlaTwOyDJ6YWEBWZbFWCym6FaXy+XQ7Xaj3+/HnZ0dSefINToej6PNZsN4PC5bHyJiNptFl8uFgUCgKRQddyQZ3SkOK0VO/JZqdKc4rJSTFr+7Gi0lDitFavw+ymgpcbgXjVrG7/39fRweHq6/gRseHsb9/f36fqVv7RA7GK0kDivlqPhdLpfx2bNnWC6XWzTKjcO9aOx3/G63vLldm9Jlzi1G9xqHldIpfrczutc4rJR+xe/aSP7XPEREjuNaRnYwGGw5luO4rkbXH5h8/vwZHA4HfPnyBXieh2g0CoODg5rN5+12O/A8D6FQCK5fvw5Pnz6FYrHYdMzKygqMjY3B7u4u5HI5CIfDmukDAHC5XJDNZuHmzZswPj4Oc3Nz8OfPn5777ba8eWJiAkqlEmxubvZ2EUEQ+haHldIYv+PxOD569Ai9Xm9f4rBS1Izf7UZtjXajvTEmN25dR3QgEIA7d+4Az/Ngt9t7+9aoxODgIESjUeB5Hr59+wavX7+G6elpyGQywLKs3vIA4K/Gubk5yGaz8P79e3C73ZpeX+4y54Hd3V24cuWKRvLkYbVaIZFIgCiKcO3aNb3ltMVqtcLjx49BFMWmhECp29DQEFQqlY7Lm/P5PJRKJRgdHe1JJ31NqRKnTp2Cg4ODplEmZTs4OID79+93XN68uroKFosFnE5nT/oMb7TZbG76exJhGAbm5+chEok0rVlPp9MQiURgfn4eGIYBAJC1zLkJm80m+XGkXoCxVyUjz/Podrt77qefD0yIWDN2XGAYBn79+tVxv9lshk+fPrW0J5NJSCaTXfs2/K2bog7UaEKgRhMCNZoQqNGEQI0mBGo0IVCjCYEaTQjUaEKgRhMCNZoQqNGEQI0mBGo0IVCjCYEaTQgDh4eHcHh4qLeOjvy7iN+IiKIIlUpFbxldGfB6veD3++HDhw96a2mhVi7D6XTC2NgYrKys6C2phUQiATMzM3D79m29pXQHsTlr0giZEO3SdPuZNakEtdN0+03T8kqe53UVLyVNN5PJoN1u77k2ilKM9oWTStt1tFpnK8pN01WjNopctEzT7QcdF0xr9cFSqZTiNN3G3Op+1h2ppRJrnaarJkeujK/dquTUHZGCmrnGuVyuL3nLapf00BPJKRBq1Q3rZ/UAteqO9LOkh17IynVpjI1v376VdSGt6oH0ch0tS3pojaKkJkEQ8N69e5JHpR4Vfmp3DqmjUq+SHlrRU/baUXHWCDW7joqz2Wz2xMThbqiSplgbsbXRUPs1bKQqfI0jFrH5t8JJicPdUC0ftVqtYjQaxQsXLuDIyIhm81s51GLw2bNn8fz58ye69ue/mBDV/Y/wGxsbcPHiRTh9+rSa3arKxsYGXLp0SdOqS3qjutEUY0LfRxMCNZoQqNGEQI0mBGo0IVCjCYEaTQjUaEKgRhMCNZoQqNGEQI0mBGo0IVCjCYEaTQjUaEKgRhMCNZoQ/gdqr6Z5+ap2vAAAAABJRU5ErkJggg==)
chemistry-General
chemistry-
The structures
and
represent :
![](data:image/png;base64,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)
The structures
and
represent :
![](data:image/png;base64,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)
chemistry-General
chemistry-
Write the order of basic strength :
![](data:image/png;base64,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)
Write the order of basic strength :
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAV0AAAB2CAYAAABrlED2AAAgAElEQVR4nOy92XMkyXXu+Ys190xkYi+gsFSh9o3N6m6yuRrZol2JEh8kPchMvPfOzH+iv+SaHmbmaWbMpCtRI5kuNw2H3WSza9+Bwr4Dua+xzkOke0YmEglUobpJmcZhYZnIJdLDw/3z73zn+HHlJ3/3Tz5vWXzAV4LHk4qiKH0efXy8rtfxFRRFBYL/fd8HOq8pKO3/FRR8orqG77q47cP3fVRVRdM0NE3Ddd0BlQrq3/6ptypBvUQ9OfJ8cPFRVJegBZXwy+3/ew/xfud/RQGU439vUF18QNFUvPZnxGcVRZGH7/t4nofnefJ92b6qimvbZ2k+2rf/rYs/4NpP9X138PdPvJeKAspx/Zu+/S/8mWg0AoBt2wBomoZt27iuSzQapdlskslkMAyDer2O4zhomoZlWVSqNQwzhv+Wd0DBB98b1H1OKD4og2/gSe13UvOqamd8+aF+6vs+PgqO67/19UMId96y+G/wdVF//Uy/+A5K70X3dtpms4mm6fJQUPA8P+jMvoeOj2fbWJaF7/tomoaqKHiui+e6aJp27G/7fjBmzjZs/7DLSZ1K13W8ELD2FsdxJACLASDA2HEcXMdBDYF0+AD6nvMPqZx50J3y/AIoRDuKwzAMotEo+XyetbU1qtUqnuehKAqGYTA8PIyqqhJ4BbGAd9G2ypuhxnHnOMMIOmv7n7WcNCmcpn6np1hB+b2DrigSbHtYnaqq+L7fZrIe+J3ZUfE9LNfFdx3wfUzDIBaLSbZgWRbKANCFLx5wf9+d6qRi23abLgcsqxc4TdPE87wAYF1XMt7A0gDDMFC/wGs8kSmdcAfFRHFsOWPVT6qfqqpdVoIAXV3X0TSNeDxOq9VifX2dzz//nFqtRjabRVEUisUiqVSKyclJbt26xdTUFJqmUa1WcduEIuhfb8t0AUUNGO/blhPu/bsAtT/UIq38N7yE3zvohhtdCdFO8bphGIDSZqUqmqphGCaGYWBoKlFNw242aTQaATA7LvigKiqmYQ6+6V/C/T6pU/2+Qb/ZaqJqGoZhSCAIs7NkMolt2zQaDZrNZhfoam3wUOCo6XdqieXtb8ObyFqDfnzQJ7wB13Ha3++tgwBdXddptVo8evSIhw8fUiwWyeVyzMzMSCb8+eef8/r1a1RVZWxsjFgsRr1eB4KxcVbQ9Xulrf9g5T800w2X8IUG+qGOaUbQdQNN1QClbQ67aKaJEY8TiURoNBoSHHRdxzAMHMf5/V3Iv4OiaRq6YRCJRDBNEwh0SMuysG0bXdfxfR9d14nH47iuK1mv73k0m80jQzbckXV9QBfz28N9QK/1vcGTpu/7Z0Jt9SR9adDPn+J3w305zHY1TUPXdR48uM8//dM/0Wg0+MY3vsG1a9cYHh7GMAwuXLhAoVDg008/pVqtkslkuHPnDrFYDIBmy8I9o8IgLJYznOBsFfgPWPSTzLOBRTb4aRq+97PtGTrMbP2OY0o4yzzPRdcD2cDQTWzboVQqUSgUqFUrxAydybExxsfHSaSSVCoVSqUStm3jO4NnKr/PszcrQs86Q8fz21TriLY2gMEofqjKZ+n0CvFYAsMwME1TyjLNVpNatUar1aJZbxKLxUilUiSTSVRVpdVqUavVAr1dD8zTXi1XPAoH0XG/f5o6Di5n6b+0WXuf3+qxuPrVw1cA33ujOoTbSVVVHj58yCeffML8/Dy3b9/m+vXrVKtVVFUll8vxR3/0R/zqV7/iF7/4BTMzM5w/f57JyUkURaFl2cfU7M3K2aytbnFCOfJcOMj717Mz3o+pm5jAfToVlc+D8fdFwv7Ac4uh/4ZUV1c0deC3Bov1Cp6vAB0HS/gRAkeMaZptmSD4P3AUqGiayuHhIclkUnpxdT1gta7jUq/XmZyYotVqsbO9y/LyCnt7ezSbTZrNJvValVQ8RjRicv36da5evRowY9PAjEWBwBHnui66rhONBq+1Wi08z0PXderNGpoWeONVVe1yAJ3OTG7f+NDd6Qb6k76vtkXq/rf3WPNRCb7TaNTR2vKAYRhSHhB1bzab8jyCYcnPqjp+2zFpNW0ajTL7+/usra2xublJqVRCURTOnz/PzMwM09PTTE5OEjGitFQLFYtYNEKr1cT3fSKRCKqqtq2NBp7nMTQ0hOM42LYdTITt6JJAzjBw7W7vflimkO1zTPFDvf646IHB96+fcd0t1Dm+ByioSvu1EEgoCjiOhW5oMlpG+B+ENRCNRmm1WmiaRiqVwvM8kskk6XSajY0NlpZeUyqVuXLlKqOjY2xubpFOp8nnC+RyOW7cuMnt23d4+vwZr18v02y2UBQV1/VQUNAUBVXVpHYtonjEONN1XY5hYf35vo9lWbRaLSLtcfI2xUfB74ne8X0/6Jp+AIaaYohW7dAIgaMK2I4jR0g//JCYG7on4nmAPGros719hyOO9N7PeCeYCuHuc6R+StsSG4DMR+RTQAd/oANzoHNTNISvhJhqN3uNmNHAmeB2OiOAamioik4smsA0ouhaoL96ro/vQTqdYWxsHMuy2N3d49GjxywtLVEqldA0jUwmQy6Xw/ccVtfX2NrZZmNrkwsXLpDNZsnlcmQyGWzbplgsUqlUqDcbRKNRFEXBdh1qjRqJRBzf97rqJgaQYH6DG+CsmthJmtzgGyDMVDHgLcs64uE2DEM6dMRgbLVaeK6PYUSwLJvDw0NWV1dZXV2lUqmQSCSYnJjEcRw21jdYfLXI9PQ0N27cYGJigmQyyejIKM1mHacdwiTARVEUdF3HdV1arZYEe+iEUHUmNAXak4Ro0eCylVNMeO+i9LH1umbQYHj7IlSx/aIIeQxfl2hbVVUl0YjH4+i6jm3bXQ4127ap1WosLy+Ty+WYmJig0Whgmqa0OgQ5mJ2dJZ1MUy6XZR91HIdkIonjeHieLyc1obX7qopj2/iqit8GXd/z8Nv1M0Kyz9u2cuBIUqRD6UjomQ++0nGNi/eV0PvS0ut6p1tehG4g7e4X3pHXu97v870u+esER3s/0JQTOqAog7WCfn34RE13sJDcNX/1/V7Y4y2ei4gE3/dJp9NSe221WhIg8vk8+XyecrnMkydPWF5eJhaLce3aNc6fP082myURj+E6Fvc+/x1Pnjzh2bNnFAoFstks58+f5+rVq2SzWdLpNADVapVGoyGdRrreafAwqxXM4MsZ9GcrwkwVoCvaOhyrLOKVfd/HaEd4eJ5HvdZge3ubnZ1dVlZWKBQKxONxbt68ycLCAmNjY9TrdRYXF3n58iXFYpEnT55QKBSYmZkBxkgm40RjEWzbpl6vy4EfiURQFIV6vS4nBQHIIiQq3L7i//Drp3GCfdG3qJ9zt3cgapoqJzUI+k8YZMX1tFot2T6e52FZFvV6nUwmw+TkJIlEQkYzeJ5HJBIhn88zPj5ONpuVEQsQ9OVEPEkymUZRAsmnUqkEETshi0aAlggJFONP13U0Xadptd5NO/mDLW3Bz4QydkRMO6Zte/uA6CO9z8Xne/tQ2FLvB7onRbcMAl36XEdvOQZ030SUeLPKiR/tdSBAp2O2Wi3GxsZIJgM91nEcOdDv3bvH3t4ejuOQy+W4c+cOd+/eZXJyEgCr1SRi6uSyQ0xOTrK2tkapVOLVq1dsb29TLBaZn59ncnKSyclJGo0G+XxeOogMw6BaLaMoSHlBAJdgLcK5dMxV/95DYsJAJsx4EDKNiW3bmKYpQVBVVWzbZmdnh82NLRYXX1OtVrFtm4mJcW7dusXNmzfJZrN4nsf+/j4ffPA+Fy9e4NmzZ6yurrK9vYVtW6yvrzE/P8v4xBjZbJZYLEa1WpWxvYAMORNgI6QF3/fxPR9FVaWzTAlprKeb8L68SfE4UDAMA88PTHrBcMMSVSQSyGaFQoHDw0MqlQq5XI7p6WnS6TQjIyOsrq6ys7MjIxrW1tbQNI3h4WGazSaHh4d4nkcul0PXdfL5PK9evaLZaHHx4iVGR8fIZDKYpinltLDVFl445HleJ9zspHC607aN3/95b+kFXtmeSug53W3cS4COY7wnLU7qy4Ll+Y+v9HG4piiB9eOdGLR4tARMd4CGMNC3KVeO9e+QEAw6cbOBLgYWbmTbDkzcpaUlNjY22N/fp1QqMTY2xpUrV7h58yZjY2OoqkqhUMCyLBzbQsFjKJPm9u3bTExMUCgU2NzcZHt7m5cvX7K1tcXFixdZWFggk8mQTCZlxwvA10BROrNq5yYcz+LD5Q8BdAEJuGLwi2LbttRa6/U6e3t7rK+vs7S0xNbmNuPjE8zOzsrJKZvNYpomBwcHlMtlarUaQ0NDTE1NkUwmyWaz7O3tUSgU2NvbZX19lZnZ88zPz5PL5YhGo0SjUSlhJBIJ6vU6rVbAqERdfN/HcV0U5Shz6WUwx5YvtmmDn1CO9u9O3QLLoWW5Esji8bi8fsdxqNVqlMtlXrx4wdbWFgBzc3MMDw8TjUa5ffs29+7d4+HDh3z7299menqaRCIh++n+/j4PHjzAtm0uX75MPB6nUCiwtbXFyxevWFpaZnr6PBcuXGByclIuohCyTlhWEjqz4zhBG58RdJUQZRXywkkA1AW8PWDbr43D0UfHAeeg94UF2Kvxd5jwgBWrodJvQkBRcP3BoNtvcZb247/+L3/TDTBverSX54Yq1ct0xSyraRrRaJR4PE4sFiMSiZBKpXj+/Dm//vWvefLkiWSpIyMjfPTRR3z961/nK1/5CjMzM/i+T6lUolarYds2jmMT6GqBAywWizE1NcX58+eJxWI0m00ODg7Y2dlhaWmJ/f19qQfH4/G2Hqqhqhq+35FCQIT0GKJ1Bxynu1lvW077fUUJFjLE43GSySSxWAzTNEkmkzSbTdbW1rh//z6ff/45q6uraJrGuXNTfOtb3+TWrVssLCyQTCawLItarUatVqNer7O2tsrz588pl8tMTEwwPT3F0NAQpmmgqgoHBwccHB6wtrbG7u4ulmURjUaJxWJSP+8a6Ep4ebGPJp2XwhnptyfB4Pngpj+6jLzv4HizFqf33iqKKsE3/CjqqOkaiUSCdDpNLBbDsizZ7371q1/x6tUrFhcXcV2X8fFxpqamGBsbIxKJYFkWL1++BGBsbIxEIiHjcTc3N3nw4AH37t0jnU7zZ3/2Z1y9ehUIGFqtVufg4JDd3T02NjYoFotSw4/FYsTjcWzbljG/4ntS9uAd2AptAA2fKKzMipC0I3dD6Ui6nXY+/t71i4wRk0ov9oQPXdflZ8KPwXMQTtiTD0LkDFRVaUOfIvvHcUdv0X781/91IOgOPqGK7wWdsl/DicElTErTNFFVVZpMOzs7bGxscO/ePV6/fo1hGMzMzHDz5k2+853v8L3vfQ9AsuByuQwgtSoFSCTiOI4tB7Wu66TTadLpNIlEQnbsg4MDDg8PqdVqOI6DqqpEIpF2gHn4xqkoioqqasH1+b2st/f4YpnuSd8XdRdOm0QigaZpNBoN2V6vXr3iwYMHbG1toWkaMzMzfPjhh3zr299ibGycRCJOo1Hn4GCfWq3a1gN1FAWeP3/OvXufs7Kygus6gE8iEWdq6hxzc3PE4gGwFgoFDg4OKJVKNBoNed9FRxeWjbAwhENNMIEw4Io27XT04w/P/2JBt8N0FdnPw/3ddR0iEVPGzubzeZaXl3nx4gVLS0tsb2+j6zrDw8Pcvn2bO3fuMDUVTFzxeJxqtYqu6zSbTarVKtVqFd/3ef36NY8fP2ZjY4NYLMZXv/pVvvGNbzA8PIxpmgwPD5MdypJIJFFVjVqtRrVapVQqUSqVcBxHLhsOt3+Xjq6qb2Ecd5dOlpSjwBoG3d5hI9KH9Or3R/Xyjl9CWMlha1n4C8J+g97vhPth7/Mgcknt+93Ob6nouiZJWvCeiqbrKKqKesx3NU3rG/2l/OQf/mWggTy48yr43iDzC2KxmNRPASqVCuvr6ywuLrK9vY1lWaRSKaanp5mbm5MMQDRko9GQHTGVShGNRrEsKwiF8j0q5SKqgtS0Go0gQiGTyeB5HuVyEAa1sbHB9vY2+XweTdM4f/48s7OzXLlyRdZZsPKARTuyww4qJ5kng3I/wNnlCdOMSIAT+mG5XGZjY4O9vT0URWFxcZFyuczFixe5e/cus7Oz7TC9KJubm0SjUVzXpVwu43ke8XgcRQmcYIVCgU8++YTNzU00TSMWi3HlyhW++tWvMjQ0RCQSYXNzk8XFRdbX1ykUCgCMj48zOTnJjRs3urzx5XKZZrMZ6J+GSSSkmZ9kPvYrjud0tdObgW4/rtfHivGPA10f33cxzGABSbFYZH19XYbbOY7D/Pw8ExMT5HI5pqamiEQilMtlIpEI6XSanZ0dyuUyP/vZz1hdXSUSiTA5Ocnu7q6ULK5du8a1a9eYnZ2VGq1pmlTKVRzHY3t7h+3tbQ4PDzk4OKBerzM6Osrc3ByXLl2SERG+73eF7qEEUTxngV2FgOn23jvxOMhRpYB0qsrXeu6f6NPHabq90Q2nfQyee2iaoOr9S6+zN/zoE4TMDooUFqsHu677H/7+/x7YxcONdrRxFJoNC03TZRysWI6byWTwfZ9EIoHQbHd3d3n69CkvX76k0WhI7erixYvcvHmTiYkJPM+jUqnIJaeDVpQp+KiKz6Dg/Ewmg6IoVCoVtra22NraYn9/n729PQ4PD7l79y63b99mfn6eaDRKvV7vCn8SCUiENmTbtmTtgbPtZE3oOPMHTk5aYhiGHCjif7FKzHVdYrG4zDdRKpUol8usrKzw8OFDLMvCNE2GhoaYnZ3l8uXLTE9PYxgGxWKRQqEgIxk60gpywlNVlVgsxvb2Nuvr66ytrbG8vEy1WmV2dpabN28yPj7OzMwMiUSC9fV1qV0eHh5SKpU4f/4858+f57333mNycpJarUahUAj6ieOia50YU2GtaKHXTionZRkbfJ6TQTcSiVCt1FBVjWg0WIKbSCQZHx+nXC7RajWo1irs7e2xtrbG2toatm0zMzPDwsICU1NTpNNp4vE49XpdgmIsFpMhjaZpcnh4yLNnz1hfX5dt4LouU1NT3Llzh7m5OWq1Gvl8XprNVssmFkuQTgcEY21tjWfPnrGxsSHbeHx8nJs3b3Lp0iW5qEJEmRSKxU641zFm8aD+qQDqKXwe/Zxc4tFsW61ibAktWkhUmqYxMjIi479p17XZbGLb9hHfUO/jSfffcSx8PDkGwjlGhFQTDscUco2u66iajmFGaVk2zWaTSCRCMpnEcRwajQaapkkc68pbEoDu8Q13EugauinDdlRVlYshhJboOMEKMsFuBWO6cOECFy5c4PLlyzKmMXxh4nz9ZgpZh7b/UFU6dertNJlMpkv3cRyH/f19njx5wosXLyjki4yPj8vj/PnzTE1N4bou+XweQDa0eC4iAxzXxvdPXod5FtAVJopwRgpGK+JgQZHhdq9fv+bly5dsbGygqipXrlzh+vXrjI6OMjExIZdK1+t1KcU0Gg3ZKcRACJtWyWRSxivv7u7y4sULCay1Wo3bt29z9epVrl69SiqVotVqcXAQaLzCshCe96mpKaanp4P46nb0gm1Zsh3C2n+/+Mx+5STQHcx4TwZdTdNoNlr4PkSjsXb7B5bB8vJrLKvJ7t4OW1tbNBoNUqkU58+fZ2FhQUbMmKYZgKRlUa1WsSwLXdelRZdIJKS/otFoyCgGz/OIRqMkk0lc1+Xw8JBWqyVjf1tNi3g8SSKRJBKJ4Hke1WqVvb09lpaWWFtbo1KpSACbm5vj4sWLTExMBFES6+ugKhJ0RXuFn58EutoA7PBpg65yPFNVfIhGIjiOQ7PZJB6Py/5RLBblBNNqtSTzbzabWJZFJBKRDloxPsJheqIvDb7/now+Ec7oMPCGgVu8B22JU9OxbBcfpTvLYTtPxqVLl6hUKrJvC0lN+ce//xffH9Ax+1H/8HNN1QOHSHvGER5c27bZ29vjk08+oVwuUygUUBRFBtgvLCyQy+XkrCAYZji+TphRx9YNH3x3IOiKxldVVTo7PM9jc3OT9bUNHj16RD5foFwuoygKCwsLfPjhhywsLMhOLFZ1ATKfqWmauK6Dz+m9n/3Y+EmgK9s5BL7xeFzmV61Wa6yurrKxscHW1hae53Hu3DkWFha4fv26lAoAyeAFowwYRgfQhaMrrHs1Gg3GxsZIp9PYtk21WqVYLLK8vMzKygorK6soikImk+HixYtcu3aNkZER6vW6jEZZW1vj4OAAVVW5cOECFy9eJJPJMD42juc6UtIJ63vi90/KnXFSZsJ3Abq25eD7EIlE29Zck5cvX/L06RNarQaKCtFolImJCS5cuMDU1BSmaQYRNu22DrOn8CHiaXu1yd4VZvV6XbKnaDSK7/s0Gy2i0TiKEjCvWCxGMpkE4PDwUFpzS0tLvHz5EkVRmJ+f52tf+xqXL1/mMJ+n0Wr2lRfC4+fYtgV0X+nr2RAMWoAucCRvM4Di+cRjMVqtFtVqlWw2y/DwMGtra/zmN7+RBEHkU4lEIpLF53I52W/CfTgMvCeBrqr5+L7XxUbF5C+OMEES99MwDAwzgmV7GGZE9uFGo4FlWVy9epUf/OAHXZakOK9+RL/q27THPPeh2WzJjiNAt1Kp8PLlS1ZWVjg4OCAej3PlyhWmpqYkAwjP7GHaLpxtIsRlMNPx4YSQDdG5hYkuZtPx8XEmJ85x+fIVXrx4yfLyMi9fvuTJk6ccHub5kz/5E+7cuYNl2bRalnS+QZDxzPPCDrbBmlCvAwPo+9px9QfkYIRglm02m6yvr/Po0WPJgAzD4NatW9LhIkzJSqVCtVoFkJEjoi16HVeBThmscgocXw7VagXLaslJcGrqHKOjI1y+fJn79x/w+vVrNjY2yOfz7O/vc/HiRaamphgfH2d4eJgLFy6wvb3N4uIiu7u75PN5RkdH+e53vks6laTRqOM4nYkpaBeh151GcTybs3JQEU5gRVElM93c3OTevXscHh6wsHCB6fNTzM3NMTo6KkGvWCySz+e7kgRB576LgShC6iqVigRf0Q5CBhLjSxAQsQDCMIz2eZz2BFylUqnIZcbCWTczM8PQ0BBPnjzh8ePHGIbBxMQE6XSa1qHVSWkQkgLCZGVQqysoqD5HNzMIS+JiubW4t2qn72vtCV5MGqZpUqlUePz4Mf/6r/9KNBpldHRU1iMej8vIGlFP0a7iMfx88KTtofogwhYD53F3REQsFuv6DQHMhmEQicYxIzF8gsUpgp0vLy9zcHDA/v4+8/PzwS+FFgTpHe/sMWVgn1dCq7t0eYHb29t8+umn7O3t8cd//McyUYdwghWLRZkRLBaLyYsU4ChYcyQSOdm8PAF0xQ0VF2xZljRNopEYk5PnMAyTa9eucenSJT799FPu37/P6Ogo09PTsqOHBf9Owm//VOO9X9zpaWNRBUsK66wiVvnRo0c8e/achYUF7ty5w+joKCMjIySTSfb29qSpKli+GOy1Wg0IWJzjWPSGzUAnrto0DWzbwrYDGaDZbMgIB13XuHXrFvPz8+TzeTY3N6WuOT4+ztzcnIwfvX79OrOzszx+/JhHjx5xeHjIV7/6VUZHcrRaDXzf6wHdToTCsUW++cWBrmVZKKjEYhGi0SiO47C+vs7q6irT01P86Ec/Ip1JYZom1WqV/f19KQOl02lqtVoXawzLOOGFIuHFI9BxwIr+5/u+NH+F7BCPRalW65LpCrJSLBalBGYYBrOzswwPD5NKpfjJT34i+0YylQosqB7dNbxceVBR/CBLm6QeYeBt35IjMbKqAm0nnqAr4tozmQzpdJpSqSRX5V29epW7d+9iGAZ7e3uk02npLxKOc+gPuuHX+xcPVfNRlE6kTdjKEyRSLPYRko+QUOOJFD4ae/uBA1PEVkejUQqFgkxcJCYvSaBOZrpdzdz3uVjlJGZuoSsNDQ1x69atrvjFcrksG8owDCkphIO4haYrZvPji38i6Ip6hc8lll8qlGSnDTz6KVzX49Gjx2xtbVMoFDl//jyKorYllKCtRIypqp4ONM/CdKF7yxcBnGLl3ezsLB999BEffPCBZLb7+/vs7u6SyWRoNptEo1E5eIUeFgBD0O1Vtb8kI35L6NhiEhSDJJEITNuhoSHm5uZkVMTDhw9ZWVlhc3OTFy9ecP36db7zne9w8eJFVFVldXWVV69eUSjkMS4vgAKu57bDAJUgDMwHDQ3lxDYe3H/fJBKiX2k2mxh60HZiEApTf25ujqmpKWzHkhJavV7v0t2FHNWrzYvXqtWq1CXFgBcsWMQ892qJoh6u61IqlQBFOnHEknpBaizLIpfLMTo6yuTkpKyT6H+qGiRcCpvl4T4wKDVneMoTiyNQunmaoijI0LAQ4AahC8HYsCwLVVVlXDcgGe78/Dxf+cpX5IQWiUS4du0aqVQK3/dlZNNx8sJgR5qHpgePovRqzgKPBAkU48E0TVLpIfb289JfdeHChSBPRjpNPp+XznjoJm0nMt2TOq0YkOJGJhIJabouLCwwMzNDuVzm4OBAiuFhT3l4VhFLKHuF50FFgO4gEAtrmCLDlq7rqEoQ36jrBrVakMowl8tJExE6nbxfhxT95zR1PAvTFYNMmEuO48gJ7KOPAi95o9Hgt7/9rXRaibhdwaxarVbH66qqbcbfatf/6FY84npFlIY4h2D5iqLQarXQdUOyr+HhYT766COmp6dZXFxkZ2eHw8NDNjc32draYnJykpGREdLpdJfjQXRuUTdx30/Su7+MIvR70fYi77CiKKRSqQBoGzU5wEREggA8MdGH2W3YhBWWnZAPBJsSY6TRaHRZIULv9TwvtOTX7YqwEWMpDMBisVCtViOdTstrEKAbBoXwpHvaMgh4od2vgoxYMjZYURQ0VcPzgt8XVqh0OCkd5/fGxgafffaZtJqFzivM+uNA9ySmq+ng+91JmHodcWLsCKmh1WoFy+pVnVqtxtraGg8fPgRgdHS0SxLs9ePAOyCzLCAAACAASURBVEhiLswYAWrCQ14ul6VDTThwwhmwhOgvOqeY7YVUEc6FMLgoMr1aZwLpTCSO7YKvYOhGwFj89muAHjFJpQN5w7ItCsUCnu+h6Zo8haIGncTzvbY25cv/lRMDZs5eRLuKwShm2eBGqiiojAyPsrOzwy9+/ktisRgff/wxyVRCesmFWSsYrue5PYOq/4QlOp0AHDEYwrl3XdeTnTKTGWJkZIShoSGGh4fZ2dlhf38/uC++gm05aKqOoZuYRoShTLYL5MMHnAZ0v+jWDzS9eCyBogSmeyKRkIPPsizJYMVihHAyJwGSov179UJ8BccOGL6qaPgeeK6PoqgYetDudbuObugSZMQ9DX5LRD4g82uEJ7BYLEatVjsSCiXGrFiVpbabMtjisXMgH48vQR+kO4lNSBbq1696A05Efg7RXkI7t227K/6+UChI55lwvLVandSl4jEMcCf5hBwn2Bi28321y4INrAwXTQv8OMLK9dr5QkZHR4nHoviei+vYeK6DY9vYloXnuqiKIjOtBVKMgu663pGQkX6PR6obYn1i9hRONMEUhUwgZm5B0cX3xF5P0AmCFu+dbpZV0DVD3mzxnaBBBLPQUVW9bcY47Y4f/G87Lo7fxPc9zKhBJpvmIL/P/uEeuZEsiVScRqtO02qgmxqoQXBdoHPaQQo9AmdCb5uE69h57J4QoP8ywXBRVa3tBBTmpUkuN0w+X8CxXeLxBL6vUCyWefr0OZcvX2JsbIyRkRGWV16HrIVgtZemKWha/7nWDeUWFfmOLUuktux8z/dpd1aXer0kVwjl8wdUKmUpRczPzzM8PIyuGe2BpFOvNzg8LKAoGun0ELbjgqISjcVpNBpEojFsx5Wm3Entc1b54KSiKAqlUol4PEE2m6PValEoFLrkljBrFcRCvB9O/tPrqMJXiMXihCePYJ7p9F9F0XAcr81eo5hmtKtNEomOVSbOLSzPQqHQjrLpjD0RumZZFvF4DM+28byO1x5AVxRUQ++eIPq1DQp4bajucpyFnrctUbntkULQgegwY9frZMATemmtVpMyoOM4jI+PMzQ0JK3lYCITcfLH94ET4+BNXbZ3v/GrKArRaKydirMurQzbdrAtGxSXZCLGyHCQ9dDQNQxNA8+n1Wjiu36w47QHeAoq6rvZrkewFfEoOtpgPfZdlTDgKfIx/Fr4c71KlKapeIDrBzfScixc30U3dXRTx1f84MCXMaHitVNl+Djr1SndgB5mhkAob4RY2KDTWb7cWwaFSB1bgwHvdfJeCKeXCL8Bt8e8C34nMP0CUD86ER13/P5KuN17X+t9vV8J379uJ6HSxp6T27+fY+g00tSp6ocfSK3i0ffbrAwGr7US3b8DuKeiSe0u6CvdjHcQ0eo3aXXagRO66OnI23H40W09Q2+/DFsGiu+3U1z6su06hxK85yvvbo80AQIicbXQQETlexv1TTTNge+/5fdECQfhC/NdZPx/k0mj3yx52ms8TR3DmqCICQRkHYWuKszG07DEd1HCuhV0PPSe1z1JiM+EcyqfdtXZ77OEB7m4lqMDXzlynb2T5Ntq+oMszzcF3rC+GD7CQ6XXPP8yynFjtbedw/6Ed1XPk377DGcOHRBGqnfGdIUJIwK5w2FKXVXpAaV3Vd72vK7rouqdpCxChBdb+7zN777L6xKdK7w6RjgdhEkmxH3f96Uedhon5LsoYe92h4H7CI+wqqp4rte12EE4fb7swf02pRd0j3tN/N/73uBrlMLY8Z9Q+j/2Ph/8/XAioV4w6NS91xn9Zdyf4PeC2HBxBIzTk/UOomvokhNOEzkEp7+Gd4JLvenWgrN1XmtX5cygK4BAgK7IIappwZ5Q8OUx3bdpOMuyiOrRrnheoX+d1ns+CHjP2nFF+4adM8IpBp04ThFZEI1GQ0uEv/jSC0Sd+9wOBNd13LbcFHbI/Xthur1RNmJiEVounMx0e8FMvO5L/XaAbtoH2MOPpynHM93+5+9mwV+gfqYAin9kx+feMSTaXkQ0iTEhHWADmuJNfAJvB7w9E1lf4O3+3DtnumLnh98X033Tc4p6C6YrQCMcM3jS7/Y68r5opitAdxDTFYsZvuhy3DX3M68VRZHyzb8nphtObxrW00/DdAcWyT4HfETpz27F40l9bTDTPcrKv2jHZHfxJaMNM92gHsJiEqzWx/NcmV5UsN+TQPfUNTnT2O0BWsU/+pr4nPKOQBc6wb+e5x2r6Xb9/DtiuhzTUU7LNAXj6tV0Ra7d05bjNN13UXoHswhRgo55L9agi7ClL4vpHrUGjuaX+Peu6QYmbkf7f2earkqI7fYvwffCIU3yDKcEyaPJ4Tv/B8DVT9P9MifEMMCGNdAAgDv1DaIs3O6J6ISER6f7/ePx4xTf7vO/3wO8Xfb4u41egE5SCEU5Gr3wRcyiZ2WaIiA/vApIrK0WISynqcNpXnubctwgDmfkAo5k6PqyGEuvw67X/O0HTO/Kwfhll946D7qGXiA+DoR95YSER1K7FN8JA74f3hH+mBP4fY/geyex5C+D+YYAShE7gShH6qqo4OMF74v6nwJw30ZeeHPADT+Gnh8B3ra8oGnamaKeBLMdGxuTmZV2d3dJJpP4fidHJnQ87WGnigjeFxfbe4h8soKFAjLdYLVSQVc1VKWTYT48sMOmYF8mio/vBfl7x8fHicViMtep0O0sy5Jr6IWOKs5p2zaa0lkg0Y8lhLMc9dPjTrrBYgWaYLCiDUUsaLValUtTw5KOWLByUgnqcnzHHHwO/4hMIELBRKLvSqWCoZsySY+Qc4I40bj0SPu+L/8Xm2h+uaZu/6JpGoZuyoRJYkluKpViaGhILuZpNptdy31FjG6Yzff6NsTz8EpB6N7OPZx/pLdfC81cvBf+HVFs25ZZyYQFJ/q0iHYRsbDh1W69q8LC55Xn9+Ek2973jy7TF5KAAsTjMSrlkly0Ia5HJNUX+CCInFhpJyy+8Ao+QTzEGOxt+/DYFJ8XMc0iYkncY7EgI5VKyXZqNBoSg4J+PITnue2tx0wiEZN0OoVh6O22NvHxaLWa7Xj3oE7vlOn2MrDjZpnwTB8GxaPOGGTCEMMwZAcUnUPXdVzbCeJsQwK7OI7bLiNcVFVF1ToSQ3gQiBsb7sR9zUTBWkKspve1495/0yJMdNEO4U7aO8F8GeZ7r7kdmIQqfs82OuFrDzP0/whlkCUkwFoAQDjhTe/E8/vRXbvrexTcwySGruenqWW/yUKMYzH+oHvXa9H/+1l0YcBVFEWOY0GYBIaEV/aFF2EIWbF315heibRD6Hwcx6bRqFOrVdvJ1S1arWY7x0xbRmpn7vP9dwC6vUApZg0RLzpIyxUgfdw5ATnTiXOLFSkiO5lmmn3n2nBM36AS7HWkdWV7EksRBRsPA9qReg7Q7Ppdc792O6n0muiiTpFIpKsT9bblaSads5bw+QVrDqrbX+8UnXVQIpU/pNKPDPQOwJO+H37sLWEHV+BI6kgHqqq0HUfdVpRIUAThZEi9kEfP/32OU8z7x9U7kPXOLhGJELBAWw5ALCBVnTAxRQnGqaoq0pkWbLWjYtud9K/hcRKONhGTmmCzoh0F69d1XeadFn4okV9BWNm9Vqrox4ah4XkujUa9vSOHcGD77dwmwf1C8dsb6b6DxRHhGSc8+KPRqGQzx5lVQaMf3VgwbAaIiAJhuoVT4xmGQavRRGuz2jB7Dq8zH1TEbCgSW4jEJSJOVwBc+Mb2YxthUAlfz2nfH1S/cFIgRVGkiRuNRmVom4hmCLPJcDq5L6r0Z3GelBfCDEXXDXlvvpzViu+uDGKrb3KO3rEQDPIwERGMKHi/nwUX7hNHdcXe5+L/fsfpQfM4+eJsRZCubtBVVaW90rEDygKEg/YRr/Vnur1tJcBTECqBJ5FIhHq9LrMgig1VxeIjMbaE4xc6C5U6KR41fHxsx8Z2gjzH0WikHUWkEk5Z6rg2vvcO4nTFQA9roIKJhkOwwoAbni36NVgYYMSuDWIPNgGmjuNA6Jy95kC40QcV8ZsiwUaj0ZCJe0TjC30tXC95XSHHRreZ3c1wTnr/uBL28ovnYdAVppAwn8J615dZuplAD+NoL/8N64Xh5NB/yOVdMt1+3wuSD/XPXxtISU77fnaDief1+g/eBnRPX/++z/3u33obeSGcO6HDdIPdd8NWwHFHr7wlxrKQILPZrNySXuR1EKtmxe7jApiFNS2S/Auy1StpBPUOMMiywbYtHMfGtoP91gJtupMoSrBd3/dwPe/dga64+PAy2l7drh/T7TabjiYSTqfT1Ov1I9qqpmnomkYqkcTrAUdRJ3HRg0oYnFqtFrVaDd/vJN8IM93uTi7khe5rO06zPen9QaXXChDXmognZZLl8DZCAty+DODtndh6HWmapoHfiTMW9Rq0DdMfYnkXTDf8PaGHNpuB7if6hAANoe/2jpPw7wrGdrZyNpmkC4h7znqaM4cddqJdwk7xMMiF26jzWjvagW49V4BuNBqlVCrJxP1iwk8kEnIHjtevX9NqtSiVSqTTaS5fvkw6naZSqUjQ7WW6AqCbTUfKHcIB6ridXWpEek8hCfn+OwgZ6zWbw5puP02xl+mGG1c0lHgUjSgaXGRJgnZ6QVWlWW+ghfLkihlIANNJ4BbOvWlZljQxVFXt0nPDoHsEeHlzOaH3/eNKuK36abrhNg+n7BMd4It2polB35kYOolsOlZBR4YSoPv/a7pBCaJMOoRCOHHDe6b1nuvLLsdOOD68iUTRr/TzuwgMUJTu1JgC/MR7ArDD9eslcCsrK3z22Wesrq6iaRqTk5Pcvn2bmZkZLMvi8ePH/I//8T84PDykXC4zOzvLn//5nzM+Pt6FDWEZVLzmui5mJMiDLLYaEnhlO4EzzbatrlS1ivIONF2Ze9P3wPfwXAd8D11TZfYi8Z5Ce+le+zUFHy2kUQltVtM6TPdX/8+/4fs+Y2NjzM7OkEompIZZrTd5/vQZqWSKXC4nc2+C3w7TaHWljDxa2smbg2SiuI6LYzvgg6qo+J4vj8Dv0P3nez5owTUGoKgemVQ6McRIAOq8D0GKpuMHU5AUus2O23XwXQ/f9dqA50sTNRiwWlv76p6hxd06rh0GtdGgoqr9QDf4LTmYQnpdcN2dXSvOFK/4TkpvmxwXcdOp/5ua6J1z9EptkBkKwo6ElQZ0EQ891JeOgL4Siv4J/07P5fjHHPjgK115skJHMFKDlIxhhh3KyKUoMlS2e4NQX+JxV8DYkbjazoq0fqw+zGrD5r0EXc/DC3UhRQnqFD7uP3zI3/33/87n9z9HReXGjRuouk4mm8V1HF4vL3Pv/j22t7ep1Cqsrq1y+85tcsM5orEotXotyJ3dvkC/7YD02tpyNJImEU+RTKSJxxIYuomCGuRGbhPAoC0UFFWFAHQHD/pBRcEnFo3gOhalYp1E/BzFwiGtZp1Y1CQWDeIboxED22qiKj6G2WGjqgKmrtNqWURiwQ4FhqYRj0VptVr8X//n/8E///M/43kec3Oz/PCHP+Q73/l2sM9arcy//Mu/8OTxEw4ODkin0/zVX/0V3/zmNykUCni+TSIZmBamacpZSMyYQfylTiqWDBJxN1r4ro/VtMCDZDyJ1bQwNANDMzoDxQt0XKWdGD0c3C4Cu/2wk0KYP21QFu2tKAoKPoaqogxgMH47ZaPrOIyemwrkD9cjakawLQvXdbDtFq5rk0jEaDYDpm5GDEZGRqhWq5JddgZ1eMdfJNMKf058NhwHGo6VDEJrTOr1hpQLDCOQDAzDkLGhOzs7LCwsYFsOpVKJiYkxGo0a7f6HbQVt7OmddgxMNEfqwQPLmYh8r9UiHruZkxkxggnZsbGsJo1GDUUJAEM4YAUrE5o6BPHkpVJJsqN0Oo3rulSrVZLJJGYkQiwRY2lpkdHRUWzblhuHijEitrUX/oVgmynQ27JSrVqVu06Ek6iLfu55Ho1mk3gigWGa8rntOCSTKfb286Bq6JGAUXqA316Q4QKO169vKj1PjxEWfD8Exn7Xo4CweDyO296ZxLJsms0WhUKxvd29hut6JJMpotEYqVSadDpDvd6gXK7geT6qoXdv8a4qOHi4TuDjcBWfl68XMdqa7cbOFrVWA9t3GR0fo9Gqs76xJslatVbBx0PTVWLxKN6Bi25oMvSMttMvnUmholApVUgn0ty6EQB1xIxi6Cbp9BCGEeEwXyA1NITrODStFmbEfBdxuj4R0yAWjZBMxMkOZRgZzrXB2EZVIGIaWGYQD9dyOxqrgkqlXEbXjWCBg6pgtiMS7t37nP/9f/tf2dvbw/M9mo0ad27fxHUsDF1lZ3uTX/z8pzx69BjLscmkMszPz3Hu3CTZbJZIRAR929IbGnTIzlpvz3PB88Hz0VUt2GgPBVM3MDQdQ9M7k3OfR7+94sQPz+A9Jpd8R1GCQ74fYg8DQNdxHLlowHVdhoaGWF9fp1gsMn9hnqGhTBBorkI0FkHVFFpWU+691a23iufB7wemXQd0ex0SQHvL8YZcyCIko1qthqo2iUSiBOwHOfhLpRKLi4vk8/lgAjBNhoaGsB2LQjGPZbeIRE2i0QjNtpzTq3O/ieZ9thL+nf73IUgg1ML1HDRdJZGMU6vHiERNWlZThhwJiSrYZbnjPNR1XWqGmqYxMjJCIpFga3ubf/vVv7G+scH8/DyXLl1idGwc13VpNFvk83l+/otfks/nicVi3Lhxg9nZWQm+uq4TiQXO5abVwnYdKcGpigaegmO5JFJJIrEotuvg+h5GxMSMRjAjUXwloL29LBba7PqN5AM/1Jy9lkD7/9BYUXwh79H127puyMO2HarVGoZhcuXKVSYnJ5mcPAeAZjTwlDYrb08wYiFRtB1OOTk1xfnZWV6+fIkPjI6PMzYxQTyZpFKrcOPmTWbnZlldXQXg/Mx5xsbH0A2dQrGApgcO9marKaOa5Ga1jkuraTE6Os7Y2ASpdJpWq0W91qDVsmhZdjtix8d2XMl4TwTdwTpS0MjhkKtyuSw3movH4+zs7MhYN9EJRUys1bKlbuW6Ls1mk0QiISMHisVi20QPOnCz2ZTeRc8LNme0HAsBIIAMeG40GnJ1mXgtbPYLpue4NhEzSiIRR5jq0WiEeDzWFuGLoU7T7/Fspa0eHFsc10FsD1StVcm0QbZaq5IbHg7iDA2dc+fOEYlEGBkZ6drBIOx8CDu9AqDz5CTU66wTReiLYU1WbNRnGAG7SiajclLY29vjwYMH3L9/n3K5zJUrV7r2ncvn8yhKsJdeWOM9KoV8mcDbX3sV7L7VaslwI7FnnG3b0o8gdEexWkmw/PB1aVqwH18kEiGdTtNsNvn000/5b3/739g/OGBqaoqPP/6YH/7wh2SzWUqlEr/+9a/527/9W/L5PENDQ/zFX/wFf/mXf0k6nZb3VYy9sF9COIigvd1QPI5lWe1NLAP5ol6v4zr+sZP+u9KPO+fpI8n4BDtWa3pXyKdoO9u2yefzFAoFhoaGuHv3LvF4XDq8PXx8Ve2MyFCbQ9B/RkZG+P73v8/U1BSGYXDx4kUuXLhAMplkf2+XO3fu8OMf/5iVlRUcx2Fqaoq5uTnS6bTci1C0mbiPol84lo3bsonF4sGuFpbF8+fPefHihdwVR0RLiL7xTlakCX3VMAxKpRK7u7sUCgUsyyKVSrG9vS0rHPZOBp3Gkdu4CJPI94MMX1euXOFHP/oRi4uLxONxZmdnuHLlitxPaWpqiu9+97ukUmlc12NiYoKvfe1rzMzMUKvVZJydCHoWNyHcgEH4lROYj57D9s4WhWI+aHDXplZ3GEh13yHwHlsUhVq9DkClWqVcqeB6HpquU6lUsCyLRDLBnTt3aDab5HI5ecPj8TiVSqWr7btBlxDb7XYUis91vK/BZpaCSSQSCaLRGLu7+yQSwbbfW1tb7OzssLi4SL1el1uwZ7NZEokEzWaTYrEovcfHbVQq7tVpHI1nLb0g2/uayMUBSEetALB8Pg8EzrAw0Ia9681mU0YiCCen2Mb9pz/9Kfv7+5QrFVqtFrOzs1SrVSYmJiiVSvzkJz9hfX0dn2B/tLW1NWq1GqOjo3Illet6MjxJTLaKohCPx4nH40SjUSqVCq9eveLJkydy8qhUKrQM+8i19z7/okur1QKzkww/jAO6rstNH2dnZ8lkMgwPD9NoNAJHcixGtdno2kJea/uGfM/DtiySiQR//J/+Ex+8/74kdLqu02w0cB2XaqXCR1//Oh+8/74Efl3XqVWr1KpVdE0Lztf+DbHlvGkYRI0IZlqn0WiyurrKxuYm9+/fp1gsMjl1jpmZGZnGQERRtUF3cAOfxHR9P+hYgsEmEgkMw2CzXQFhekWjUarVanvVRoc1BIM6YAfxeBwIZr+xsTH+9E//lOXlZRKJBOfOTTI/P4dhGBQKBUZHR/nBD37AuXNTGIZJKpXi0qVLqKpKo9FA0zSy2WyXg0I0qGAHwf9BaNjy8jLPnj1DVVVmZmaIRCJUq9Uzd6qTStC+x7exYRhyDzpFUeRAz2azPH36lBs3b4IC6XSaiYkJVFWlWq3KWVksQuiNgui8FmaTSs8BjUazvVBEwfN8otEYQ0NDqKpKrRaswikUCrx48YLl5WUgYFdXr17l7t27TE9PY1kWhUKBpaUlVldXSSQSZDKZrjXzwov9+/DQDwJeMTm7rkuj0cAwDGZnZykWi7x69Yp4PE4ymSSZTHYF0wvLQEgL4XYXu9iKyI9IJCIBJZvNdse4t/tGJpMhnU5Lq1Ds0Oy5HrbXDrNSdZIJs0vj3dzYYnV1lU8//ZTDw0OGcyNMnZsm0t5vrdGwJNP9IoD3JKYbXmwAncUgo6Oj3Lhxg2q1yueff87jx4+5dOkSH374IZlMhrGxMRLJJJu7u1iOLRcHhQmeiMsdGhoiFouRzWbRdZ2Dg4MggkbTKZXKjI+OSilO1/UAJG2bRj3o+6KtTdMkFo3LfA1Om4mvra2zubnJ/sEB1WqVubk5rt24ztT0tLxfIp0pgPaf//p//pvTNdrRokA7uUMQqJ9MJqnVauzt7ZHP51lcXJSNMTQ0RCaT6Yom0DRd7u0VNFbgjAgSTSTJDGW4desW8/PzjI+PE41GKJdL7O/vMzQ0RDwe5+rVa9y9e5epqSlpwjWbTTmjhXU1sWw2vLPu5uYWa2trPHnyhNevXzMxMcHdu3e5dOmSNNUGll7c6gGtDrCFzfY2m4S2E20w6DqOQzKZlB3CdV1KpRIbGxtUq1U2NzdpNBqSUYr4RLHyq3dloGjv8JbdHemhE1nh+9BqWRIcNU0nnU5jGCa7u7s8e/aMra0ttre32dnZwTAMrl+/zt27d1lYWCCbzdJqtVhaWuLp06c8fvyY/f19zp07x40bNxgbHaPRnoTDeY1Fu/VbcdS3/c9Qwqfvx3QFaRDyVzQaJZvNomkahUKBlZUVVlZW5K7HAjjD/VwsuhGgIJh+JBple2ebSCTC5cuXef/997ly5YokBplMhq3NLcZGx7hx4wbf//73uX79euBILhYxDDNwJqmB1jg0lCWTyeA4Lpubm7x48YJPPvmUra1tDg8PmZ4+z4cffo3Lly8zPCxkKIeOnnp0vL8x+PbcjyPf7/HBGe1ViuEJN5FIkEwmSaVSZLNZbNtmeXmZlZUVDg4OKJfLaJpGbngYTdcxzHYfF/KC2P3YdlhdWWVzY4PHjx9RKpaIRaPEYlE0JfAnxcwIuqaxurrKw4cP2dzYxHM9SVYcx5H/p9NpUskUlmWxtrrG86fP+Oyzz3j9+jWFQgHDNJmdneX27dvMX7gg+43Tk870RNAdHGDvYxg6eluXFQNYsN1iscjOzg6Hh4dS+I/H4zKvgef5GIYptRPf9+TSPNu2KBTy0jRTVYVWq0m5XKZcLkvPsBDe6/W6TFohBrDQHgWrFlpyuVxme3ubjY0N7t27x/r6mtSNvv71r3Pu3CSAzIolrvXoY9sxcAbQPSk9naKqaO2Z1fd9DNNE03WSySSGaQbXshMMKs/zaDSCaIJ4PI5t26TT6a6VYKKDdwLQ1VBUhQBbXy5F9f1g00tFUdqzvsva2joPHjzk+fPnbG5uSuvg9u3b3L59m9nZWTzPY2tri4cPH7K0tMTh4SGqqjI9Pc3777/PuXPngg7ZXp7ZbzeJLwN0RTlO0+30VU+ujhweHiaXy8ksb/l8np2dHSnriHEg9LywJi4mxGw2y8jICJevXObixYt8+9vf5sqVK6TTaZnl6vz581y9epUPPviAb3zjG3zlK18hnU5TrVal3yQSCZaCm2YE1/U4PMzz8uUr7t+/z8OHj8jnC8zPz7OwsMBXv3qXmzdvkUwm29ZHEU3V+/px35rp9tyPDn70Z7q6pstxKqQXTdOIxWLEYjHGx8cZHR2VDt29vT22t7fJ5/OUSiXqzSau42AaRhBN5HnBTiUEER6vl5ZYWVnhN59+yr3PP6daqZDLZomYJrVqlUQsTrVc4dnTZ/zbL/+NjfUNUskU8VgcfIiYEUzDxDRM8KFYKPJ66TVPnzzl1atXNBsNRkdHuXjxIguXLnHp0iWmpqaIxmLSIrEdG6VN/DzPOzvTBR/TDJxUzWYT0zS5fPkyly9fZmJiguXlZTY3N1leXqZarZJIJKSZJAa0ZYl10WobTItsbKzzu999xr1792g0GsRiUdl5bdtG13VWV1f52c9+xsuXr1hfX0fXdVKplFxnHdaHhIlYqVRYX1/n+fPnPH/+jGazgWmazM7O8LWvfci3vvVNHMdug4TIYC86TZ/HszJd4fEdcESiEfKFArZjk86kMUyTiclJzp2bZGJigkajIdnmysqKlCNUVSWXy0lTK5y8Q0gsoo7dWm8ndaCIVhBhd/v7+9y7d49nz56Rz+eZm5vjzp07fOMb32Bubg7Lstjc3OT58+fcv3+fw8NDbNtmbGyMa9eu8f7773P79m1832d7f+IeswAAIABJREFUaxvTNLt2k/h9gG6/35AaYTttpqiPkNLGxsY4d+4cuVxOrm7a3d3l+fPnLC8voygKY2Nj2LYtrRRBIMQEZhgGwyPDJBIJrly50rW6UDiNJyYmGBkZId32jB8eHkpnsqIocizV63VWVla4f/8+jx49Ynt7m1arxfz8PN/73ve4evUqY2NjRCIRyuUy9XqdRqOBaUToTLj92e4blTdkur7nS7+B0KkFwRD+g9HRUaamphgfHyeVStFsBhrq4ydPOMznpf9ItLMA7VQqJWWspaUlfvvb31IqlZifn2dmZiaI7x/KUqtWWV9f5/Xr1wwNDfHRRx9x7tw5FEUJQvvaMujGxgZPnjzh1atXlMtlIqbJhQsXeP/99/nKV77C+MSETKJTKpeoVquBFNEOfxS5Y7T/8uP/5W9QeuMVOw3VuzS3+1CwrRaOY3dFJgSe7SBOdG5ujrm5OWkibGxsyE5s6AbpdEYmnKjXA2lgaChDNBrhH//xH/jFL37Bs2fPGBsb48qVK0SjwX5m2WyWYrHIz3/+c372s58zMjLC1atXGR4eJpPJkEql2NvbIx6Py2iGpaUlfvOb3/D06VMqlQqxWIz33nuP27dvcevWLXK5HLu7O+Tz+dCKtt6QqtBsrbSXwaphB5QaOnodU+GQLYJ4X6XzarjTi6PZbHblahUA5bouhmkyOjpKNpsll8thGAaVSoWdnZ22+RmYbkIzFKsExev1el2adWLSDNhTENOYTCaJx+NShqjVahweHrK9vU02m+X999/nRz/6EefPn8d1XTnoHzx4wNbWllw1d+3aNT766COuXbtGJBJhf3+fer1ONBqV4VVhR4oovVZWb0iZEmq8XoYallIGl+5+33v0OsbE58SqOtHfxsbGAg92qyUdint7e3JJfCaTkZPe8PAwjuOwtLREqVxC03UZZbO1tUUymSSXy0mCUCgUgmiD9hJWAdgiCkE4L58+fcrS0hKO43D16lW+973v8fHHH8uQw0ajIZ2vQi7StI4vvdfhfJrSvQzcby8U6sR9D2huQUW6ckSLtu4F30gkwvDwMCMjIySTSRRFwXFdXM/j+YsXFItFeW9EbLmmaQHrjEap1+vcu3ePtfU1HDuYzCKmSSIWJ5VMks/nKRaLKIrCxx9/LEFb+HsePHjA8+fPWV9fl07PDz/8kA8//FDGX7csS+KGT2ClKoqCpmvBwoh2e2n/+ccB0z3OvBp0A4KZSmyf0Z00GIJOms1mpZMsFotRLpd58uQJy8vL1Gp1dN3AsmwSiQSpVLLNZj3S6RSNZoMnT56wsrKCZVlkMhmmps5Jj6Bt27x6tUi5XOa73/0u7733ngSMSCRCLBaj1WqxvLzM7373O54/f06pVCKRSLCwsMDt27e5efMGuVwW0zS6Qq0UAaiD+p9CYJqfkun2gm7wfqet+7W/L87RPsSNVNrxiZOTk8TagzqTycgJZnd3l+XlZRkfKgZsoMkGckyxWOT10jL7+weoisrQUJZcbhhN1ahWa7RaFo1Gk/W1dV6+eEm93mBkZJT5+Qtcu3adhYVLKKrC4eEhi4uLPH78mCdPnrC/v8/w8DDXrl3jzp07TE9Pk0ql5MKAWq0WhGFZ9hsN8L5xvCd8/eTzD34/HNUhzifCHBVFoVqtEo1GJSBkMhnZ73Z3d9nY2GBrawvfD1ZV5nI5CczbOzv83d//HT/96U9xXZeJiQkmJiYwTZNKpcLBwQH37t3jV7/6FY8ePSKXyzE3N8fQ0BD5fJ6trS1evHjBvXv3uXfvHqVSmZmZGT744ENu3brFxMRkO3bVxXU78lInj4nIkfH2TLe7fU8RVtkHdE9aABNO6i6s2YmJCeYvXCCdyVAoFtnc3JTx68LpFU52s7+/z7NnzygWiiwvL+P7PlevXCWZSJKIxznYP2BjfYNoJMo3v/lNGo0G62vr/ObT3wQYtLxCq9VieHiYy5cuc+P6Debn54MFSu0VhV3tSyfTX+/laT/+6//pb/o18eka3gffQ+1hyWGvtBjkoqEymQz1ep2DgwMODw7Z3d1jb2+/zYyHZfap0dFRVFXh0aNHvF55ze7ODqVSiampKS5cuCCDlHd3d1lcXOS9997jwoUL2LYtGcLW1haffvopr169olqtSrZ89epVrl+/ztWrV4hEDGzbolwuU61WsG0rNIGcZNoqHUDsvMibgK6v+HJpIQrdyycVUDUt2LKlDbKdzwWernK5jNMOj8vlcoyOjpLL5aQWeXBwwOLiIouLizQaDdLptIzbrNca7UH9/7KyskoymWR8fIJYLN6WFCJsbm7x5MkTPvvsM3Rd5/Lly8zMzBKJRKhUyqyurvHg4QOePn1Ks9nk3LlzXL9+ndu3b3Pt2jXGxsaCFJzt2ErhyQ8u5c0ysr4N6J629DLc8GsCaHvzgvi+Lxm7aZrous7Q0BDnzp2TO2HX63XW19dZX1/vCh8TO6p88ukn/PRnP8XQDbLZLFNTUwGLa4cYbW5u8uDBA0qlEt/+9rcZGxtjf3+fX/7ylzx8+JDf/Oa3NBpNxsbGuX79Onfu3OHSpcsMDw+j6zqVSlWCVjAmPekkFZZZ2JH2puWLBl0hubRaLenUjsViZDIZRkdHSSSS/H/svVmTHMeVJvp5rLnvWTu2qkIBBAsAQYICqQZFUqJEjUaSXZM0V2M28zA/5f6Ce8fG+rVf+qlfpG6zvmr1VbNNGxdQTRAEBRLEjgIKtWZV7pmx+33wcM/IqNxqA0BpDhnIrMhYPDzcj5/lO+ekkknEolEYbQObG5t4/Ogx1tfW4LkeqEehqRqWHy+jtFnC/Nw8LNPEypMnsEwLY4UCUsk0jLaBhw8ewrEdzM+fxMOHS7h69VN8ceMLuI6LYnEMp0+dxvlz57FwcgHFQhGqoqJRr8HmfRtY0PiTB7UxTj5kjOyQsEYlHhrH7adhlWJjY0M41mRZxvnz5zE7O4uvvvoK9+7ex+rqOkqlLdTrdZTL25icnEQymcD4+JhQucYKY4hGI/j444+h6xrGx8dx6tQp1Ot1IUlzG+b29jYePHiAGzduoFKpoNlsYmJiAufPn8eZM2eQy+W6pPKtrS202k00m03h7ee2Y9frwDx608HBm/r1fzDhR1Blo5SCSh4s00TEl+65SeDkyZMoFovY2trC7du3cfPmTdy9excbGxsiLHdqagrj4+OYmTmCX//6/8PHH/8Jtu0gHk9gcXER6XQGrusikUjC8yjq9QYSiSRSqTQajSa+/PJL3LlzG6XSJhrNOhKJBM6fP4+LFy9ibGwM7XYbtVpN2CY5Ewmm3WOT4ummoOxFg2y6nDjj5b8Fy720Wi1Uq6zkTDqdxsTEhJBKV1dXcffuXXz11Vf46KOP8PDhQ7z66quYm5tDLB7Hd7/7Xfz+D3/A3bt38U//9E/QdR3nzp1DoVCApmnCkRSLxbC4uIh6vY5PPmG+DkVRUSgUceHCy7h48SJyuZyIiLMspm4bhtnn2dgK7y8vO577WUD3epFYoEl3gBQ3r8RjMVx85RW8fOEC7t+/jxs3buDGjRu4e+cOQFluF0WWYVsWioUCLl++jLffegu/+tWv8Otf/Qsy8RSozUwSmqrBaBt48vgJniw/QWmzhFw2h9OnT+Ps4llMTExAURRRaaJWrcKyTBGK3tVjpL+WpQS58u4Z7054SdiWVqvVRBRPtVpFMplEPp/HhQsXcGTmKFZX13H37j2srq7iypUrGBsbw+nTpzAxMY5WqwVKKS5fvoyXX76AX/7yF/jjH/+IxcVFFAoFIclx6aLdZpLbrVu3UK1Wkcvl8Prrr2N6elp0GAdWM7XLhiR17EBcggmnkTxM6tiJe/d/0M7JPzkDpp4HXWU5JbgkySLEGNyG50goFAp49OiRgBGtrKzgm9/8Jo5dPo5vfvNv8Pvf/wGrq6v45JNPRO2vkydPwjAMFItFJJNJ6Lou7GNLS0u4ffs2lpaWkMtlcH7+PE6ePIkjR44gm83C81jduY2NDZHiM2iz5XZpz/WgHXIy81HfYz9Jt5cdOajJcVOCZVkiKrNarQqUwuzsLI4dO4bTp0/jT3/6E5aXl/H48WNMT09janoaCwsLOH78OADgww8/RDabRSKRwNTUlFisOGQwnU6jXC4DAE6ePInZ2TnMzZ1EsTAm4JqNekPYySVJYgmc0NteSwJVLZ83ZsvJtm0B+eTjx/M8gatVVU1EfnEz1tTUFJaXl5HJZJDP56HruvAFRaNRvPTSS8zEVm/i/T++j0a1jsnJSTTrDWTTGUQjERTzBUinmKPyxIkTmJ6eBqUUtWoVhmH40DQ/z65HhcYbNkX1ImFFP8hODzIKXdfRbrdhmqbwym5vb0NVVYyNjSGbzSOTyeLhw4dYXn7c5WlvNBrI5/O4fPkyfvzjH8F1HfzP//n/4N/+7d+wsLCAs2fPwjAMERRw//593L17F7Zt48KFC3jppZcwMzMj4FNbW1sCYcEYQw2JRExMrqDjJFip4mlQv/7vxQx4WykhqFQqiPimBB5uyB2a3GmTy+UwPz+P1dVV3Lp1C7VaTTjOUqkUZmaOYGbmCNbX1/H73/8BR44cxfT0DHK5HBzHFfkVEokky5MhyRgfZ9Lc2bMvYmp6UkCZODQMgCh+GNQeOMMFMESLeHo0SNINJvzhiZL430EbHq9E4LouSqWSWMi5L4PnaL137564rqIoqFarOHnyJCYnJ/GnP/0Jn332GQghmJ6exvz8vICmSZIE0zQRjUYxPz+PM2fOYHp6BpKkgnrA9nbZz5HhQpJknzFZAT9LBxIYRKr064fgWHuWFIxUDKNquLDRaDSg6zpzsGcySCWTOHH8uOj7drvNoImWhXqthlQyiTe/9S24loP/9X//L/zud79HKpVCOp3GW2+9hampaRSLYzBNE4rv5Gw0mmg0GqLIActv0Yme7EX9fGIK/7HXCcOJGYeEeS2EggAQCFd0kUgkhMe61WohEfdg2y6KxSIKhQLm5mbRarWQTqdEJBbPtBSNRvHKK6/gzTffxMcff4xf/vKXePToEUqlEsbGxkUo5unTp5FKpfDiiy9iamoK6+vrXYnII5GIqN4KULTaTXheGL/KkBnsUQ5x5ScdXKzoUe5Y87M7OR5bSV3qwfPbIhEiEBMsjFoWfc8nJ69cms1mmRoWj4uQ3Hq9LqoGV6tVtFotzM3N4cyZM7hz5w7+8Ic/IJ/P46233hJRhjxnaCwWw9TUlB9SqaFQyAGEYmtrS6jYsVhM5PYNV1DmyBZCCCQiwbFtHCbtV9LllTk4cw2P72BQRzD/Kh9LjuOgVCr5wQsZnD17VkjIrutibW0NuVwOb7/9Nl566SX88z//M95//32cO3cOsVgM8XgcsRiL7edIFC4NO46D1dUVyJIiSjcFy04FTSLBvgj2SS+m8DxJu8GcIcFIPP5sXJjj4f7NZlMkpuHSrWVZLOzZDzs3DAPJZBKXLl3Ca6+9huufXceDBw+QTqfx+uuviyK4vKIzFwK5gz6Yg0SWZVBChWN7FFI8dNKvUcprFQ3D5nJiqnHHw9sNkwIgQvE0lUkBjXpTBEqQhIRWq45sVkc+X0A+n0Oz2QBARYdubm6KRDpzc/P4+c//K1ZX1/DRR1fw1Ve3YNk2fvCD/4xsLofJqSlMTE6CUpYy7tHjx11BAUG1kDFhljeXSIAsyYJRAPAzC1kjSGMkEN+wcwBzcFivN0J9j0YQMkYCnwBY7lxKAY+K+/BsaIQwcLznMFVdlhUhVbIwRxXtluEHh7B3pGsRKBlmgkil0iiVttBqNfHCC6fxve99D7/61a/wD//wD/jFL1jin/Pnz4MXA3QcG67rQFUVRCI6CGHmI9tmUBmJSFA1FY7twGgbwubpUhceYRoEQYdB2Z69bz9YL5eNcGKMejL/Htz8k2VZ9vO2MnMOh/6IQwNSF/dWc3sj0JGQeU4EbnbgkZeNRgO1ahWJeBzffvttUM/Dndu38dm1a4j4UW31Wg2xaBSglEVb2TbgL5iqrMC2HRjtNrNh+pFZEV0XZcN5O3h7habUw7QVlnaDJoieRELBD9QDEMa2h7+PTsFAniCOm+N62y0DlmnBsRkW1jRMsajX7BoLiVY1yJIMy7RgtA2UNkvwXA+ZTAY//j9+DCIRtD5sMWHFbKPVbonoz1ar1YkkUzpaDgGBrMosSyGh8ELzGOgef8HvCvErVYqJ7vmSK+0ezmLCd3UJq2cUHvrshbIjPc+D63AJgUCSFCQSLI9Aq8VKlTQaNbiu7WfRpwzwb7RQr9eFJLGysopUKoVXX72En//8v+Jv//Zvsba+DsdzoUcjaBltQCJomwYopWibhmDuXS9RlqDIEhSoXe3mHWVajv8MgCSrw4dKMItyj+ku8/uT3gPQczrmi53YBoGBgCyFmL9HQT0Xjp+vlxAZngdYlgPL6lTMYCuyC0qJj/GM+fhjGY7jYn19DSsry3jppXM4fvwo3nnn22g26/j7v/975PNZtNssrDuXy8DzHBBCYZpttNusrJHkawN8oXX9QnyK389iYlOWJyBI0ggct5+fgVL4ybg7qA5xOYHD6zgiCQ35HHqozyyxug/H83dbtgUKsAkGgOsbRJGgKXogIJFrfBSu6yBoldJ1zS8DxbSAtj+pKaVoN9tQJAWO5cCxHFx8+SJefeVV/Ou//CuePH6CsbExrK2sIZVIQVd1yERGq9HC2soaJienUNrchqb4IauWDQcdGF47UClX9F0XQ2BjiKcmZe8Q4rsPCu06P/w+qLtzXAev4Xmef7O9Md1gVi+gkxCJC04SIUgmErB9jUqRZVDPE3fLpNPY3t7G59ev497du5ianMQLp09DU1VsbKxjdv4EvvnG6yiVN3Hr1i1QyUMkwSRc0zBAVIDCgwsPXY8qgWmbLk/mHtCUAv0jEbLj0RUOWeKZMynhEtXOTuoBeAp9ho8M7yOh7xTxeAymZaBWrwpbajwRQ6vV6qpRFI1GYRgsT+w3vnEJP/3pGn7xy1/i0fIjFtvMjFXwaCfFnuO6HabXkzrt4V0V/hxEfCwN4h07NYNBvw87P0Sc2/SEo7FPFh7qspye/iQU3msAtVoVhWIerudAkgleunAesiJha7uEjz/+GMtPHkOWZaTTaSSScZiWAdux4FFm9pDkwy0HNIwoGPMlIWWCBH4PE2clnGFSwkw2FCF1OwBLC1+H33MY8dBzAEK15dhRy7KgqSos0wQBa0OxUMB//2//DblsFn/84x9x5/Zt5sjUNLiOg1q1CgJA1zTUKtWe0lTP2Uc6QTAdxkngpy0f+hxcAw5qwsTPJz2wI0bppH3QMFNIqVTC5uYmK6bgmzYfPnwopNdsPouz58/Cg4djfz6GmaMzaLZZlkJZleFaQ3w6EvFNrKGZHtgXfh/PvFBV0N4azIW7vLyM+/fvw3EcrK2tCSRDq9XC7Owsvv3tb+OrW7fQaDVEVia+BaOInrV9atj9n4ajgjt9TNPsOAH8QddqtUSocKvVQiKRwLFjx/CTn/wEt27dwvXr1xGJRHDp0iVM+qYbUQDUo8AzZrqjECEkoLl17+uFo+S/H8TICeYT4H2cSqWgaZqAKfIoMQabLGNhYQGRSAQbGxtYWVkR1+Gh7NykwRxI0V23KRz5d5jnDwuuOkyXCQARULGwsCBgkjyoJZPJCJTTyy+/7KcrjYjov0wmMzzhFXb2x7A5/VwwXZ6Qhof3ceSCZVmYmJhAs9lEtVpFPp9Hs9lEqVRCIpHAG2+8gUgsgvn5eZHPNGh454P0WdJ+me5+Fw2e5Y1T0DYWxJnycONyuYxyuYzFxUX89Kc/xT/+4z9iZWUFip9kh1dL5td63qmLuQaoFxws+P2geAEP/eWQJ+5U5v4KjvHd3t4WDuZIJIK5uTn8/Oc/F4mDarWayIHBM5Z1TGcDfDB9/DVs//DnDCIdgsyFmx8o3c/86pgvDou4Q+3y5cvCns6jIqvVKmiNCrMmh1mGHaoDn2AP8/eZM11d10EkBDKNsZdbLBbx6quvMnODH1zRgXrVoWkaA4QXcjhy9KiQ2riHEoBIjPMsaTjTHSwp7pfp8sUn6OCklOd0YNU1lpeXMTk5KTzDfHC+8cYbqFar+O1vfysSvwSjscgoRtnngEaVdPsx4f1QMJ8Fz63LMeubm5vY2tqC67JUjJVKBbFYjBVJrNcxPz+Pb33rW7h27RoopQLNw4N4JCLDtllqxpH6IECU0p02md2ez34ZeI1B0WbM3Lm/8T1sfrTbbcRiMT/CtZNr9+HDh1haWsL8wjyKxaJY0IIpOXlWuUG0Y7EOMevnkumycjOyqG9ECEuJN+Fn7OEZ923bxqNHj2CaJgqFAguzJCyTEyEsuTcf0MHyzc+ahg0K6ZAZVzA1IUdxcEnLNA2sr68jEokgmUyiXq8LhwUPm758+TLa7TYSiYRIFSlK3VMHmvrMh9BA2o2kG7TpHpT8xTG8/H483aNhMIcvFy5yuRyq1SoURcGVK1eg6zreeecdnD9/XuTopZSKIAxVVdGy2kNbGsbkBm2zo0BHdp5PuvqOCr/CXml/43/Y/OILFRfqeN6WtbU1fPrpp5BVVpadwxy5NkIIC8UO55PZ0fo9LM7PfMZYlgUiaV1JfgFmw+JJUlKpFEqlEq5evYrHjx+LmkebpRJarRYsX6INBjUIb/rX3LxwUG3gWMMw/CabzeI73/kOZmZmIEkSarUaolFmJ5RlGUePHsWbb74pcmJwSeF5WdRGoUGSrvje65wDoKCEC0CgFmRZxtjYGN566y1omibG+urqKq5fv45UKoXvf//7OH78OIrFosi6xYNNGJTNAcEIOULQYbaMdg/l6m/HHdxPw2y6FIcbBs6ZrGVZAj7HIZWNRgPr6+siYIoLHPy8UcZA8JiwXbff3H/mTDcajUJWWIkdvsIQQjqQmnZbMIGlpSV88MEHmJ+fx+XLl4WqpfiYPe4p5isbV8P+mombbCw/7VywUKeiyLhw4QJy+SyazaZITcjtvDw9JC/UV6lUYBiGKMoY0SOwzOEq2PNMQfut8DYfoE2Xj91GoyFQODx6jdeZ4xoeD6TgWeFM04SmaTAMlryfh7vyhY+Xguk8TOgTDNbUS8rdjSOsl5T7rB3UoxJLGcsgejzboaqqIpiER60JeBsgfuf2+EEUlvw59drHSeFpyPiBAFgsceCiwQsFPyFQ5GGwTkd38TwPoAz/J/lY004OTgrAE5E2QeL1yRiusS0yM0WjURQKBbTbbUQiEdZhAa9usPOGqQZBCk64IAUHdfj5CQB5iE122GrJEQVBCZ3D5MIvbifmEn7kXKcN4ecIVtHg2Zl4hFml4uDRo0dY32AZ3HhCIBYVmMbNmzdRr9exurqKiYkJzM/Pw7Zt5PN5FuHTI5lKv+fvZ+caNqj7PVf4ez/agU8Nni91cvKGnSd8VkiSxPDA4etyyFgAMtirbVy6ikQiQvMihAjJt9lsCcEil8uJMRuLxYSzh9f84zmQOfPlVbH300fU66QP7TYbdM+lYF8Os1l2XX/A72SE84fdXyaDI+64dmZZFjRNE+aDSCQiio5KEiuewCvP8Pe0Y1Eb0j4AQmgM/h1sF6UUSs+VTCIM9P+cEA+74/axYDz8XwKFXxTf18tj3NuLjK7vwX18gvJIOz7ISqUSPvzwA/zrv/4LLJsVSfzZz36Gb3zjGyCEYH19HR9//DE++ugjmKYJXdfx9ttv48c//jGSyaQw/1Qr5UPtm/DzBPf9Zbz9zvsPjgP+PRziHTS/DXv3XZJ7D/NKPwTHbkwrQyPWBp27bzfaHu4Z6uvgPOJ8htNh8ReF37DXSwn/dhjqRdB73I84vMlxnI5066/C4YHKPw+qjft9/mEDODzow5JGL+mjs2+4RMNXem6z4uiOJ0+e4Ne//jU+/fQqWmYT+WwepVIJiqKgUCjg5s2buHLlCj755BPouo5mu4nJyUn89Kc/BSGEVcZV9m+62d0E3z1T+DoQZ65BzYwzAb6fM1kufXUQKfyMXvM3aGPsBxsbvHAPHv/8Hnt8H9Qf8wMO2e/8C54bXLy4ZhlE7PTKU3EQFG6vEvyBe3nDEWmiY/hkH2CvOGjitituDOeVVAH0Va16SYH7oX5M7yB7YJCkO+Csvsw3+MlVWm6i4X1ZrVZZKXAii4xg3GyjaRoajYaY6ACQTCZFTgwAfp2op2Mz7y/Jfb3l3TBzDT5nON8APxbYWSZn5/duRsW+hxnvziT8gyTmXov+ftELhEhD0cKDBJHdUFBTCDNdrkEL81JIoNsr9WqvEn4g/4+dnd9H8tovjSLpBpluLBYTQRTBjumlmh1Y+9DnhY9w/VEk3XC7g/cbLml03yd8v2AQRCQSESaa6elpXL58GYRQeNTFiRMnMDk5KSpvpFIpvPHGG8IJcezYMbzwwguszI7Nyiu1mq3hHbjP/ul1rOijfd/9+aCwTR/oMF3+roM2/mDe56Ck258J+98CDJfvkySppyMxTL01L9+8sMcXwS4zmvDST/Mb/V6kq+84k+XZw/jf3IwZzDq4Xxoo6XLDdi+bbpeE2yVJHv7Q5ysSr6yaSCQA9HbCHIakG7zujusfwOP3WlH3IukOUhOD+V4VRcHRo0fxgx/8AC+8cAqVahnj4+M4d+4cZFlGpVKBpml49913MTMzIxxrr7zyChzH6SoqGdG1/XfAEOr7XGzAHvr9D5uCkm54H4AujHV3kcxubTT4Gd7fn2kC4fETvMZQfwLtlpR3Q8R3pA86e/j9B98jyOzCTDdsXlAUpSstAWfG+6Ghkm6/g5+lTZc/OIeB8SzwXWo+2TloDlLSfZY23eAxg2y6g+4Z9JzzGH9N0zA5OYnx8SJa7SZisRiSyaQocUQpRTabxc9+9jNUKhWRsrBcLot8AQdB+5F0/1KIM4OweSGYuJszB/4bYwqd83tdM/x3b6Y13Jl22PN/2Ns8iPsHteHDH+9YAAAgAElEQVReRQrCmsah23RJ4AeJEJFAu/sFdF4yM+MELtTRZHaQMPkEFqXdPg5XpbiUxrG3QRW790QccCdCIfL3jQDw7uloPIAXQ0P/hfd1DQLS+eTHAVQ4JPjx/Dp8QdMjLFVdq91Cs9kEADiuAxAKx7GRSiWhqCo2SyU0Gg0Wg67rMEwTrucBhMAwTWxsbop34LkucvkcXMc5UNv2bokA4jX3ake/UUEAltKwqy8DvwopEJ1EWcExJk49mIW9n7YTVHe5RMalMCaxdbTNvSxKEqRu5k1DDBf9x3/Hl7bXPhhdcOknFO6Wgn3N+zcovO2O6dLANlgjDZICzxOjioB97X5ngRFNui0wBBI8z+1clAQO9Pcpisq+0wCelHRM547ngmCnVMc/s9ksGo2GqCTBy4wTQqBpOojj+LyTwnU7RRu77FocUBnuMEIAOhrkpdeAJgDLPzzomAETgIKKPLmUUDieE2gzGLA9xFG6+5+vZqTrqsHrK5qMZpthniWFIJlmphnbZdmTZEVGo9VEo8WYsaprMCwThsWcZXfu3Q11BGC7DiARGJYFRSJiyHW9+ZAWAhJut9/GXUwc0ReB1b+/vM/5QQ+O7I8/QsFSgnasmkKD4PhrItw8wX7uSBlE6jW2+rTfb0vwmZtNltmNmw04uoSXmOISGA+9DtYKYxAnd8f9+3dpaI4FJKEu3zntFDaQ/IWbhqRMzoxZPuj+Y7zfvAZYPUeJSGCJzyEWE76Fz+upebtBZzp23IM54mV4ngtVVaAosh+EBXiei4imQwK7jkwkSGDPxPucugNw5ISCiNSYJPR+id/Dnb4mjIFCCUoKo9COQ8O5A2g30xXH812BC4yyHvOO5upVcNDtVLF7PIhguD2YLv+djtKSwe0Lft+td5XnNA5Kq6yFwwxWBBgxDLQvDYtNGPAcvmD07CXdPRIND37a+2l2Lm4BISOgeeyFgqiFoPobNpEFGfXOhWp0KauLeNNp510Gf6Ok84jhAKrO99EXnPDcoLvou9H6Yfg1epkkg3+HYXoD70FpSKALfbKVacdpzzwMeBhxZ5lpmqCU1TgDOpFWnPq/lCFMF3TfZoJeTHZXzrzQZKZ0xPMOgN0969wUzzt1Tbodw4QOWpNGIp4zhBMzGXTyY/Rqz2HYHfsRl2rDQ61bINg982OmLyrWrF5Sbvj5+u0fRGHbeBgBEhaYwkz3MObH14LpEkJEDlFegI4zXTEoEH4phz8gg9TTSYHBA6TLIuTbyDrnoes6vWn4jB82QEcNw90rPQ3G8Cxpv2ONM92gFBZ2qoWZzW4W9EH9T3px0xGuIyTUEdTkXk6wruv1sc0OkmyD+0ZpfTCilQeWhPuXX5OjGHibD4P2zXR3NqzbvLBfcl1X5HLllWYBiBhpoHvg72S8hyzphgZVr++DiVe44H93275Ga1r/g4Yx1WFMcVD7ue32sK7/PNAwSbf32OrQsOcLw8LC6m8vhrsbSXfgok8BeUj7gpJuFwPcZZqAno5of/8okm6/faPkPuGpNYOpBIIYaB7tyqXawx6Tyn4lwmFMd7+SDnce8HI9vSRd4YHeg/pxUDR0Re91Dph0S7smWUfqHeGuGDbp98v09st0/zcNJ17O27btrsrVwZLuwN4k3YOinnNrFMtZD82vC3kwoqTblxEPaUPQlBAMeuD7OP6fp84MXvuwtMCvhXkBeI5tun0mwK6caXSXx3MiIc/kHmhYJra/dPPAMDpsm25Q0rJtW+TM5ZJvuB3hBf1p8N1ezI36UMXh429nu7uvPdimO0zaHUaDmC6AHX0fNPXwYw+annumy19WsHhlZ6XsL00+bWYRXMHDq/rg8yA8nEEpdzQH3PCVflg/DGO6+3UkfN3NC8NomE13lOfjDJZLucFJfzDt69O2zhQa6fwuptd13iBNy+sp5Xb3y3ATR882jEi9bLd8P+93vvHj+Hs4jET9yrBJNXhSUrhOt8TJMtl353gdRISwuvWe52Fra0vUQuNRU9zRwEvxNBoN1Ot1NBoNRGNxVr5EVUBIx87LkpkT2LYFST7cSU3Izoia3QwIWZZBBwy6wdcabl4YxlS5StXXZjZk0HUB9gbY4oa1rx/GmTOeflJQ8PwwFAgYbtMeZh5j1+8HGaNwe+Bkg8Ql2WaziUgkIqoDx+Nx8SyGYSCVSiEej8NxHExMTCCXy4EQgkql0pU/t1KpIJlMotls+rlIBlcD7mcbBphdVgrkTgg+hRhZvk3XC/W75zNeVgx6wPjbMf/86/iYNNfzEJ5BwXc4TNqkXidcl0eYcXyzruuicgcve99oNFCtVpFOp7G4uIhkMol4PI5isYharYbNzU0x5oMJcPrcHb3mXwfKysdvt4/rQCTdXhLdqOoyL5sRxCvyycQTUKysrKDdbmNmZgapVAq2bcM0TRBJZmVkCOA4trjnTvzu80yjqWc96YAe8SA0hf5SzO7PB7qdkeG2hJlvl40Qz5f0zBlAOp1GIpEQ5oNoNIp6vQ7XdRGNRuG6LsrlMjRNw+zsLI4fP45sNgtVVUU5Gc5UTNMEIQSJRMIPjuhPg6RErtYPYrrha3X3PWcoz68JqtVqIRaLQdM0ZDIZMVZSqRQuXboEgAVg8YoqnueJqsy8QspB04GZF/qp10DYU9l9DMPCsZwKqVRKRIJEo1FR6mR9fR0zMzMoFouYm5tDNBpFKpUCkWQ4rgcP3fd8nuyQgx1p7N9BsRkDAyRo75V2r7QXSXWYPXzY+UFJpt/i3UvCHfUdjyapBP48YOLSGs+Da5omEokEMpkM2u024vEIEomEKAp67NgxpFIppFIp6LoOVVVRq9WEQMKjMblX3nHsoW3ox3gpBaQhTJdLuhTdNldKOtcYHmHTr2HE14wPj3i/r62toVaroVQqIZ1OI5/PY35+Htvb29jY2MDW1pbA6HLeE6xtd6Btwj5jinbYMLFT2glLLx3JhMLzbT58ReFGbdM0RVYlXdexuLiISCSCeDwOwzCg6zo8ClRrZai6Jozj3DBOyPMl8fQmCgpvGN96Oi3ZC8Md4ZhRfu8/PsJMYicD3k1JpsOgYTZdWZaFk8YwDDSbTWE+e/DgAWybmRra7TYymQymp6f9UkoVXL9+HY7j4MmTJ5iensbk5CRkWUYkEkGr1fJLhO/uHXVpCHS4pNuX6dIhAsFzQoQQlMtlfPDBB1heXka73calS5dw6tQpTE9Po1qt4urVq/jyyy9hmiZeeOEFXLp0CYVC4fnF6QKDmGqHxG8IqpCscGJEZ2Wpa7Uatra2UCqVsLm5CVVVMTMzg5mZGaTTaQDAZ599hrW1NaRSKWh6BPFEEnGSQCSiiyTdlmVBUWS/vPmzHRjDJF0Kdx8tPNhB8awkXaD32Blm0x3l+vuVdPc78fj9eZY2VVXhOA7W1tZw48YNXLv2GQghKBaLePPNNzE9PQ1JklCpVHDt2jVcvXoV7XYb3//+9xGLxRCPx4XDjSF4dt+WzidAPE/IXTuYLgl8Hyjp7nEE08M3AkYiEVSrVTx+/Bi/+93vMD4+jjfeeEPg/dPpNGRZxr179/DkyRNks1lRrLLV2n++6F60b6a7g+Gid2BAP/MDd5xxzFypVMIHH3yAmzdvYmxsDD/5yU+g64yhtlotXL16Fe+//z5yuRzm5k/ie+9+vwvREMw5+vwTFZJEPxo+6fc/bAfZ/XZz7n5+7zc++pkWeo2xZ0HDJF3ePg555A4eQggKhQKWlpbQaDTw2muvYWpqCplMBp7nIZfLwTAMXLt2DblcDsViEblcTpQSdxzHL1Y5Orpkh02XAh4dzHQJIUMk3X30/1OQiRKJBCzLEv1ZLBa7ytrncjnMzs4il8thfX0dExMTOHbsGCilzy/T5bRXmy63UcmyjGKxiGq1iq2tLTx+/BjT09OiQxqNBjKZDHRdx4MHD1CpVLB49hymp6fhUg/tNjN8E8LKy8gyy8D0rC0MgyVd/z8ykO0OuDgBDtAmthdJ9yB/H8R4g997Sby9tKvh9HQkXR5RyavQKoqCdDqNl19+Gfn8P8G2bRw/fhzz8/Ni/E5OTiIej0PXdeTzeSwsLGB8fBzr6+u+WYHRMHRGOGnLDptu4Ll7mRc630P9Lv72sHfOycfv4U1SjmjiJhxd17tMPYQQ4WgDIBAmzWYTqqoekk13X6sN8Y3h/C8i/u0iGk5/SH3dhkkAtsVsX+Pj48Jeq6oq5ubmMDk5KR5+ZmYGc3NzSKVSSKfTuHjxIiYnJ1mZ6lYTrg9u1lSVmS5cB4TrSP3e6zM3S1GQAcxi2HCk8EY4qj+F3FahT2Bw/apuptWLaQ7r4I4HfG823eDnnlATwR4g4p/O72J+0MDvgX4acssgOoFSKhw7lFIkk0lks1k0m6zoZy6Xw+rqKiKRCPL5PDOhaRpUVYWu6+Ka3Ms+CoZ6oBZD/GlIer+lfkhaj9LAnN5HrcB9VJ3wL8DEdRqEZXn+1vlOqQtVleHCBqUu2u0mJAlIJGJQZIJ4LAJVkUA9B6AuTLMNx7GQyaSwvr4O/zGDd+3a1clCF2wb54U7e1ahGPzg7iCGQAGZKIELB4xA4c7xPyn1uvbqmoZMJo1yuSzSN2qahnK1jOPHjyORSGB7exu5XA6xWAzT09PwPA+pVApjxSJsy4JpGPAcF1E9AkopLMOE57mQJAJC5MFqzFCT5eAD9iMJEVBIPXP9drVgyEWGlfUbdH8gKGQTEvhB0CBJivh2817EJ3jv4qGd8wdLOmHGEsbjhs0T3dfHjr+Dx1AALvW6lphwfwcqiO24Ps/HO2gESJIM07RgGCYikQh0PQJJkuF5VDz//fv3sb6+jrW1NVGra2NjA/fu3cP6+jpmZ2dRKBRETS9N08R8iUT0AXfvxmn3Hat0MO/zl7QBv+5xBBIC6nkY3IPDLkEhqwwB5dq2X/PNhUcpVC0Gx7XguJaf99jDnbu38Hh5CYbZAiiFpqi4c+cOytslJBMxgLqQZSCRjKFer4KCB0xgB1/t8D+wH3s8Ri/46v4T3mDUta73i3FdJuqPjY0hFouJjEAykXH//n0sLy+Lcj03b97EtWvXUK/XEYvFoMgKFEkGPArPceH6di5Z4hVG/dcZXpqeI9rnOo89D/gDaQPF/tRDGgCPD6d+TLXfb/2Yb9f+IUE8QUWJgnYllhcLwIDzHceBoihQFEUE+3DGypENiqLg8ePH+Oijj9i4VhSUy2UsLy8LNI5lsaTzhmGg3W7Dtm0fUjn4/Y8c1XZIGt/QMPN9zwAa+t69ybKEaDSCSESHpqig1MPa2irK5W1Qz0MynkC1UoZtmSBgCc9lmQVjGUa7c/0Aw+1APPmXQc+48/mUgeZEDJHkSEeo70fDJEXXdWEYBiYnJ0EphWmasCwLmqZhbW0NH3zwAXRdh2maqNVq+OSTT9BqtwSshjkTPFiWBddzAnlI6a6cDM+GCESm6MO6w4D3xxakp2Nf6R9xNromMYjpDvt90DmDun9HtBSfg4F7jTL+VVUV0WjcPGDbDGObSqVgWRaePHmCTCYD13WxsbGBRqOBWCwmmLOu6yJAgtcKNE1jwN2Hz7+vN5HQtnNfs8myE7bbBigFcrk8TpyYxeTkJJKJBGqVKrKZLO7evYd6vQFJksELMSiKKqrRdPkMaeD+/WwzA0g5OHvg3og7GprNJhRFQbvdFnHP+XxeYG850sG2bcgSwypybC8v3OdRxmSZ80DqUm33Ss/aO/5cEw0O9t40mGmSoe+ol3q8F6bb7xhpRPNMz+dgfwzsAVVVhWDgeR5arRYIIT7DNNFut6GqKqanp3H69Gmk02lQSlEoFLC+vo4vv/wSiqKILFiqqiISiYhw12Hj87DzJT/vlEgkBKrJcR0kEgkcO3YMZ86cQSIWh9Fu48G9+/j4yse4S+/CMAwm+NlWV/pYADuGOn/zA8dPj/cz1LwwTFLar6TreR7i8Tiq1SpyuZyISHNdF+fOncPi4iJkWUYsFoPrurh37x4cj+W+TKfTXSWTAYgExZ53cNWAB9HzLkkMe38HA3DfO+PtZfMa9dxex+2UpL2B5+5mUQ1fexSmq2lalwOQR6dxL3m1WkWr1cLk5CQuXLiAaDQKXdcFtrRarwqGzdM/UsqCQtrtNqLRyMht/mukZDIpiqnKkiyQUoqioFarIeY7Ofk44X3N8zUcUkTaPugA5iuHyLRaLYG35Q61I0eOYHx8HKZpIh6PIxKJIBqNQiadUsmGYXSywfv5G4Ie7q8F7ccT9izvLxqxd6Ypy6MPwb0w3X42XvF9xEW1573pcPMCNw3wyQ4AsVhMSKv8HpqmIRKJCPMYpRSNhl9Q1A9P5Xh127bFfBjGVA8jS9bXidrttoChOp6Der2OUqmEdrsNo9WGbVlYX19Ho9GAbdvY2tpCuVxGvpAXGF9BPSRdOgTA0uv9DLXpSoMuOYJNdxgFGW6r1cLa2hqWl5cBsGg127bRbDbFMVtbW0gkEshms6CUot1ud1YypVNM7uujVu2TcwZtTb2uPsBRROh+Jd1RdB3ejt5MsT/6gVHwPR6EeWFHG4a4gT2Oiuj4UzrXIN37+hHP/cxNZa7rol6vY3l5GZRSxONxMfZ59WuOaEgn0/A8D+VyGZlMBolEAs1mUzDhYbkXnnWg0OHX4Bts0zVNC+vrGzAME7lMHo7j4v79B5iengE8CkWWsblZAkCgaxFsbW3j8eNlqKqGWCKOrre7Y6755oVdTmFl2PH7/X0YqaqKarWKbDaL7e1tLC0tYWlpCQCwvb0N0zRZngXPw+bmJu7du4d6vS5QDpZlCbswC/2VhKT89TAv7KMHhzDcka6/j0rIu2W4vfYNYwrDzAPhfcPMCMH90giqtzTCtYcRj5Lk47XRaKBSqeD+/fuo1WoiF8PGxgby+Txs20alUgEhBPl8HvV6HUtLSygWi9B1HYZhwHEcmKYJWR7cf38VTJfyDYHvbGs122g2Wshmcnjl5YtIp9PQVB2gTMOubJfhOC6mp2cgSTIKhSIIkUAp4DreEEf33uCayn4qBxAAkq++9AOv8+tz6TP4CUCkuXMcB0tLS3j8+LGfss7D6uoqNjc3MTk5iXq9LhhuJpPB0tIS7t27h9nZOd9u5sG0mCe3U9Hz8O1Zu0kC3n/Sjqaeh4kCgDT4xeua3nEk+IsRt3W6joN4NAbZD7HmqqjjsKxvHBPabDYRj8chSRK2tragaRoSiQSq1RpisXiXZsHVaL4FS6D0okFMNaiS96Oh+X5D/RcOFlAUec9h2NymO4ja7bYYszxTWCQSQa1WQ7PZxKVLlxCPs7zQ6+vryGazAFi/ZLNZvPLKK0gkEnBdF6VSCfF4HJqmwTQZ7tdx7A50jezEL++Xel1vL9fuF9jSL59yv/e2I8CDAoqqAiB+uSMGQaQUsG0HxWIRY2NtvPzyK3jllYtotVo+f1D88elidnYOx4+fYNkNYzFAInAcF67rwTBMqKqKZDoFCqBWr0HxnZntdntP6B9loPlgFBpJ2mLUBbMhzNHFcYo8HHhsbAw/+tGPIEmSiENvNptot9tIJBJ49913oSgKCoUCIpEI6vW6Lwm74qXyTGWSRIZKAk+LejOV4W0bKmkPOb/RaIqoJk2ThXpLiARV1aAoKqjnwfMoVFUWwQqqqkGWFb8yKvGdDRSZDDPrWJYtbPAEEkhw8aEEnktBPReDbR/9I8n2KlXumoYHlQ2nAReQJAmFQgGqqsKyLBFiqigKLl++jDfeeEOMfU3TRDTmyZMnMTY2BkIIGo0GxsfHRUJuHgbMFrudxRSfJ38Gn+eH076dJgXGW+AvcGwsZzJZJJMpZLNZHz7WhqZpsC0LqUSKIVh8u3o0FoNLPdRqNbTabeh6xNdQbCiqCl2LwHJstNsGALInRZH82//773Q/nhQiScIuOCghSTickxOfuJlMRjjFCoUCXNdFtVpljjNZRrVa9SNwIkin08wQ3jZh246PXXRAwSp9MqyvCdWvKCHA0l0dxENMJAwCN+9XPQvblnvBpgbRoPuzGJvBVtlguWlKqfDUKooCVVEggcDzsdLJZBKyLKPRaAiHJoui0kXlDh67bpomNE1jKhjIjknFN17Ouu8TkME22/1GBA6z7SvSAfiShzBdnorR8zyBw2232yKbFcAk9lqtBtu2RfFV7lyrVCpIp9PY3t6G4zhotVoiSZTrdip/hPuKv/P90H4l3SCyaBB/2LOk6zGECIfQcZ8OISynAk8iz8cyF8qSySQUWQZ1PWgKy/5GJAKPUli2Dcu2YPtBKbZtw3FdqDpLJF9vNGBZFqIxFpwyMJ60R18pByFJ9Hq54X39OpNH6WiahmQyKaRgjlgghOXa5QDyZDIpqkqoqod4POEPxCYr/RGAhGiaBtu28DxQPy/6bs7r+fuQ8xOJBFqtllCrOM5TVVVoqop6tQb4ZiBd1wXEiQP4OVaR40otyxI5XS3TRke6kLo0mM7EGsUr0DuE9yCYxjDa7/WHnc39EUE/A8ebm6aJZrMpost44AQhRGQSCy6SvOoEf1c8tSNfTHsxs2dNh92OMI/hTLdjYpQQjUaxsbGBlZUVOI6DfD6PXC6HqB7B3Tt3YBmsEoeqqXA9D5IsI51JI55IAGBok0azCdO2xHW5SY3swYS5f6ZLWFhkr5UprFqE7U68k6LRKJrNpsjswwHk2WxWrFS8TA+vN8XVgSCG0bSMjspLyHMx8IZClnaBce1JQ5iGZVkwDAOe5yEWiwmwuGEYLGeF5zGJN1AxlRAiJFSekSmfzyMWi2F1dRWKorDMb/Um6vWm34zOe5blDqRvmE0XPfpkrwtU78sfriN0lLO5bdyyLGxsbCCTySAajaJWqwntjpsWXNfF5uamSHbOAyKi0agobcWxo9FoVGDag76SYD8+a1PDofd/aKHhG/cpxGIxOI6DarWK9fV1RKNRHD16FLIs48mTJ7hy5Qoq22WWKEvX0DYMSLKMsfExZHM5LCwsYGxsDAlCYJa3hTlU15mvRBoWRt5L0pU47msvD+xvo0q6nMnyTwDI5/OoVCr48ssvAQBzc3MileNnn30GgKkoqqoinU5D13Vks1mYponNjRJisThSqRSTkpsQjJnZeL2n4kwbhQZ61QcYhgaWMxnh1RmGCUVRkU5nkEwmfYfNGkqlEmzLwqmTC0glkmzhshysba1jfX0dtm2j1WoJhnDq1CmkUimsrqzBMAycOnUKMzNHYNvM1sttvtxs00GSDPdej4I+6EcHglDZ43mjMlwedcbLwEQiETQaDXz11VfwPA/FYhGxWAyqquLevXv48MMPhSOtXC4jnU7jpZdeQiaTwZ07d7CxsYHp6WlcvnwZtm35ZoYO5hfozLdnTU+D6XbbdDl/kSHLCkzTwu3bt/H555/DMAycOHECuh5BrVbHlSsf4+rVTzFWKOLEiRMwTRN/vvsFSltbGBsfQyabBSESFEVFLp9HLMagfbIiQ9P0PWvR+5J0CWE5qIZJup3jO4yXM99KpYJPP/0Ujx49wszMDFqtFtLpNNbW1vB3f/d3AIBisYh8Po9oNIrV1VW8+OKLTOpaWUMmk8WFCxdw5MgMFJXZfrkkwFSxZw8OH+QoGhZKO9DZRgB4gz1BlmUjnU4jnWa2xIcPl3Dr1i3Yto18NodoNIZIJIqtrS08ePAA9+/fR7VaRSTCHQgWyuUyvvzyJl544QXouo5bt25haekR3njjDUxOTsG2HbTbbVFiidtRudYxpHPA2ddhOM8GXot33R7nPSHDT+VOL8uyEI/HUSgUsLm5iatXr+KLL77A0aNHMT4+ziQtTcPKygp+//vfY2pqCgsLCzAMA3fv3kW5XMYPf/hDUVWiVqvh1KlTyOdzOyrmhh1Xz5KCNuHDaRPxlT3OcCWfv8iQJBnlchk3b36F1dU1zM7OYmbmCDKZLKrVKjY2NrG5UcKrr7yK//SffsAcnJqGre1tJBIJtE0Dn356DbKs4JWLaWTSWTiOC9M3sUmSjCEyU09FdF9eIhr4HGUDITu23/3ud/jwww+haRouXryIsbExRKNR5PN5uK6LO3fuoFgs4uLFi0ilUvjtb3+L9957DysrK4jH4/jNb36Dr776CoZhQiIy2/wBHIlEEVwFBX7vKdJ+pLih1/aZBqH9N6NtCEa4tbWF27dv4/79+3BdF9MzM4hGo7BtG0tLS/iP//gPXL9+Hc1mE/Pz83jrrbfwne98B7qu4/3338eDBw9w5swZTExM4MaNG7hy5YqIjOLlqjlyxHGc4aaFA6CB420IEQAiB7e/0QEbz9QqNr5/wGbZDpKpNFRNh+24MEwLX926jU+ufopKtYYTs3OYnZtDLp9HNpeDHolAUVWcOn0ab771Ft757nfRNgx8dOUKHNfFwqlTmJqext179/Bv773HUCN8eIPVHOTJ8UefmXvfeo25cOeHpe5R388ob9Cj3Y6ssEZ9+/Zt3L59G7ZlY+7ELI4dOQpNUdFutlCtVvHw4UNUKlUABPl8Aa9deh3/5b/8n/jOd97B5MQU7ty+i4cPl2CaFpLJFDRNh+O4oJRHU+5+LkvBF8Zfmkc9uJ4L13NBJCK28LGUUuY957xMIiCyBEmRIasKZFWBFtHhUg+QCNqmgZbRxsTUJNLZDD7+05/w3r//OyqVCv7mb/4GR44cEbAYANja2sLi4iIWFxdx/vx5HDlyxMeHVnHu3DnMzc1hfv4kfv/7P+DOnbvIZvOQJBm25cC2HViWDbau8C3IfCUfuTDc+72fjTMf7hAJq38SASQCyBKBLBEosgRFlqAqMlRFZlxh0Oa6UABosgxVkiBRCuJ5kCUCTVWQTiWhKQoajToqlTKWlx/DMNo4uXASU9OT8DwXt259hRs3/ownT5YxPz+H119/DS+8cBpjY0W88MJpzM3NwnUdlEqbiMdjWFx8Efl8Dp988gk2NjZEhjhVVUUaQ+4Y2g0F8xPwLezx7spjQLMrcbcAABWiSURBVCk8ArHR8Ba4dpgxSBQsGo1IIEQGy7ssi+/8bw8ELt8o+3SCGwVcr/+mahG02iYKxXEkUxk0WwY+u/5nfHTlT3hx8SzOv/QSUpk09GgEK2urePxkGbKqYPHcWaQyaWyVt1Ha3sLJUwuIJeKYnZ/D1Mw0iCzhk2uf4ouvvkQqlwZkAuJvkiKBEgqXuhDMMbhRCsnfCA39Ftqo5zLoX2DMda7D+5KIjVACCeyTUALqUlCXwnMpPI+KhYovVl1CUY+NS68c/sUlW7ZRqLqGRqsBh7rQYxHUG3V41EOxWEC9XsP6+hru3r0DXVNx7OgR6JoK6rkoFvI4f/YsZk/M4sqVK/jFL36BSqWCo0ePIpfLiYodqVQKVz+5iuXlZVa1o21A0zShrdPAqts1vhiQsmsLjL3R1kS+ovBP/n3YFpZ0KYBWu40nKyu4d/8earUaFhYWcPToUTGZWq0WS/ZRreLIkSM4ffq0cD5omoaxsTFks1mcOXMGmqahVquj0Wj6nvkoE/shhZxVQTV+sEr/9GmPUoY/gQilkHpMLIDCMg2kUkkkEnHcuvUVbt++hXw+h5kj04jHY4hEdNy7fxcffPg+1jfWMD0zhROzx5FKJxGJ6jDMNvSIBkkmqFTLcFwbmWwaRALW19fw5ZdfolarCecbx5lyB9xT6T1uqQlswZ4NkxgFPuPtSA3+pO63EQJv0O99No8CbcOE43qoVGvYLlcQTySRzmSh6hoM0wQFYNk2qrUaavU67j94gFu3b+PTa9cwPjGBkwsLmJ6ZQSabRS6fh+O6ePJkGc12y/e4S6CkOym753kDnz/8fbckeowzG3492vu6NPBJQ/v2QtT/l0G9PAafkwBFYWq/6zpoNOpo1GvQNBXRaAQEFJZhIKJpeO3SJXz/+99Hu23gV7/6F7z//gdotdpQFBWxWByzs3NIJlMwTQutVhuyrEDTdEiSDErRSfs4qI96aLpDzQu9okh2E2LLPasc+sVLl6yuruLWrVuwLAuLi4vCeQYwCffatWvY3t6GZVl4/PgxfvOb3+Czzz5DLpcTZXqmp6eRTCaxubkpsu7zJNBcvfhroJ7OOf8zHo/D8zxUq1Vcv34d29vbOHPmDGZmZgAA6+vr+Pzzz7G1tYXTp0/jtddew5EjRyBJkqgjVS6XBVSMOzJ5lNTdu3dFSRoO5eNws2ftOd8PcR5Mg3/vgwzDAKUUa2trePToETKZDMbHx6Fpmiinvry8jEePHsE0Tdy8eRPvvfceHj9+jNdeew0XL14UFbHz+Tw0TcP29jZqtRpc1xUwJu5Q40iUvwbiUYk8xwXXlHkghOd5KBQKyGQywlfRarWQz+fxgx/8AO+++y4kScJ7772HTz/9FLquo1AoCIz19vY2SqUSJEnq4i+jYvjD83NkprvXjSdq5ljPdDotYs3X1tYwNjaG+fl5AKxeWjQaxebmJr788ksh5j958gT37t2D53n44Q9/iHfeeQfFYhGEEKTTrNTP6uqqSPTMI7Ceddz506BBcDyAYQzL5TK2t7dRLpehaRqmpqaga7qoWHD37l2MjY3hzTffRC6XQ6VSEYtltVrFzZs3oes6FhcXkU6nQQgRKQhN00QsFkU8HoPnuX4CFgpJIn4pmWES+7MlCnSZ+sNSsjCh7XH8A93FVzc2NvDo0SPht+DIg+3tbfz5z3/G1tYWXnzxRSSTSdy9exe6ruO1117D7Owsms0m1tfXoeu6j2GXBMKEj/Ug092x6PXr8r2adNmd9tz3B0XBBYdjc4HOwsP7odFooNlsolKp4Pbt21haWkIkEsF3v/sOLl36BpaXH+PatU9h+tohIYCqKmi1mqjXa/A8F7LM8nQ7ji0CU0ah4LwcGo7TNxIEEDa1QVKA53liJSKECHxbo9FAuVzG4hmGRGg0GnAcB81mE59//jmWlpbw6quv4lvf+pYIiJAkCXNzc+K4aqUm8I/1eh3tdjuw0jH70V/Dah9mvMH9pmkKnGgwyxUFRSKRgG3bWF9fx4svvojJyUnUajVUKhWcOHECtm3jxo0buH//Pubm5nDp0iXouo5arQZJklCv10Fpx+7KS8sAbCLwQIvnlcIt65jB+h8fHut0SOULHmjCA3ZaLebA4VoBwJjyo0ePcPPmTciyjB/96EeQZVauyrIsoSU2m00Bn+zAxHo5igN/o8dqcmD07BkuD4Tg2jT/zgNNUqkUAIhcFxIhePDgAe7du4fTp19AsTgmyrLfvn0biqqgUqmIiD/P86BqqohqIxIREZmEAIo2Wu6PIHpjX0yXBmy2/aiTVNwT2e9d10Wr1YJpmkLy5YNyeXkZX3zxBTzPw/e+9z1873vfw9bWFgCgUqkgFothbW2NJXFuGahWq6JaKo/64Yx2lIQrX3fqB4QX9iNfRbKbjkiCzRcmo9UWA4urTlx1dV0Xt27dwvvvvw9JknDx4kUcPXpURKgRQnxzEEWtVoVhGAKUwhgxC1EdrG08e2l3x91DfMQDhf9/oDIw+xiF5XCNgQeMRCIREaDSbrcBsHG6vLwsJK+FhQVIkoTJyUncuXMHV69eRaFQQCKRACFEhAK7ruuX81HguSwXAPeoU4qA8+kvl1iAAhFjmvMZ27YRiUSQTCah6zparRbTfgnBw4cPcePGDciy4ldZJqhWK0inU5iYGEc0GkGr1cT6xhrKlW2kUkmk0ym4rgPZk6AoMnRdg6apMKz2SO0MMt9Dt+kCEOVKuOrDM+en02kkEgkBGKeU4tGjRyiXyygUCjh37hwymQwcx0Gj0RAmCZ7lyvM8PH78GPF4HOPj46KsCQ9X/d82XSIWJB7BxxOvcG0hlUrhxIkT8DwPS0tLsG0blmXh5s2buHr1KmzbxqVLl/Dqq6+KhNyGYaBcLkPVFBSLRbiuA8syoesaFEX2k7BQX/0aoJ8OS+Z82BQSEINSbFCqDUu4tMcx/YjXALQsS+QVOXbsGACgWq2iXq+jWq3i/v37IiLTcRxomob5+Xnouo7r16+jWq2K63Hzz/j4OFKpNGRZget6IETqYroMox6SfvtJxXveni1xXsTHOs+9wkOrC4UCJiYm0Gg0sLGxIfpWURSsrq7g3//93/Ef//EnlMvbyOdzmJqaRDqdgu1YWF1dgWWZOHr0CI4ePQJZkYSJQZYl6Lo2tH29glRGyvYRlm7Fw2L3sgrLdqUJR0Kr1UKlUoFt21heXsbt27dRLpeRSCRgGAYePHiA7e1t6LoOXddRLpcxNTUlEuKsrq4iEomgUChA0zQRHEEIEI0NLmXyl0SEsGTc4dDrVquFZCqFeDyOyclJVCoVrKysoFqpQtd1zM7OYnFxEZ9//jl+85vfwDAMYXKoVqt48cUX8frrr2NhYQH1eh2O42BrawuPHj2Crus4dvwoorEIDLMNWZZh2SY86oJIagC4+fxSP6RDL4Yb/p1Qfz4MeETP8/y8t0zrymazmJqaQrVaRbPZxNbWFra3t7C2tgZVVYXJJxaL4fz587h//z42NjZgGAYMw0Cr1WILnqpidnYWsWgMEpGEdic0C4oOpOmw6Dl4tUEIJi/ayXHi8XgcZ86cwdmzZ7G6sorl5WUU8nlcuHABmUwG1SrT0BgiqojxiXGcXFhAs9nA0tJDbG5uIJVK4ujRozhx4jgoYfPJsljODIrRTZfBeakEdwY/+z1cmOnanjtwwfM8D4ZhIBaLQdd1WJYlJF3TNPHkyROsr6/j3LlzWF5eRrPZxLFjxwTOc3V1VXjS2+22wPGWSiXcuHEDjx8/xne+8w6+/e1vizSQsVgMrVZTMG/qw6eY2ut1SerM3nx4Kzbv6F4bAMj7jJjjTgTHccQc4CYD12baRSaTgR5lCxMPknA9Vr1AIRK+/e1vo9FoYGtrC59//jkmJiYwNTWFyclJTExMYHp6GuVyGQCTzr744gvE43G8/vrrOHfunFCTt7e34bquKCPDC4fuh4ZrK/ub+bwEPHeaAb5Jwb+ySz1hXugyj/rriSxJA9cVnqWtWq0iHo+LBe63v/0t7ty5g3QmiUhEx5tvvokXXngBmUxG2GzHx8fx7rvvwjAMcR0ezabrOk6cOIGFUwuwLEt46QGgXq8jEYuD+pFqEjrVMcQ8f0pSqrC3gnVfGHvNqZf5krc3OAaCTjIKiITuPLoVAHTfHus4DgqFAs6cOYPSZgnXr1/HWLGIudk5FItFgeqRZRnxeBzpTBqSLGNldRVPnjxBvV5HsVjE6dOnWbUOVRHRf9yXFEx402uBC+YT55/y//jv/+P/2k+nssHYm6kEYSs8YsnzPD/7F4vtv3P7NiRCMDk5iXQ6jWKxiPPnz2NxcVHEQ3PThKIoiMfjIlLt8+ufI5fL4/Llyzhz5gwsy0S5XO4Y10HFAA67XYM2z6fJdDmUTdx/hJy6/YgNZNL5o8cB6XSaJbzxq+42myxBDU+GnUmlcf/+fXz00UfCrDMxMcGSfPhSF1eNeZWPO3fuIBaL4bvf/S7y+Twsy+qqJRV85/t1ZA6N3fefM3xUUPkNK8IBVyMD6/t7wn4n2uFULILFN1qL9wn+2Z9UVQWlFKZpglLmvMzlcnAcB3fu3EGhmMfMzDROnjyJ+fl5jI2NCViSYRiYmprC+Pg4stks1tfXcePGDZRKJUxPT+Ob3/wmYrG4yNHLx5rnedBUzWd47GFYP3baLfaRUcwHvX/jpY7E8/foZGHL5BvdmQpxUP8NqwZNKQUJwUMV3z/EnblqIGOeJEmQJVb8lqfQ5BAwz/PQardRrlSwvb2NVruNkydP4tixY0hnMnB9PuT6gTv9eF4v4SpI+0smyjtgQK/xhwlmA4tGo5iYmMDbb78Nz3GxsrKClZUVXLhwQcBoTNNEqVQSXkQe8UQIEVhH27Zx4cIFLC4uglKKWq0Gx3EgyxKSySQMs91z9Qmr4IdJg+5xEPfvkhaC+/1NkiRsl8tIpJJYWFhArVbDkydPUCqVEI1EoBAJGxsbIlH85uYmdF1Hs9lEJBKBpmmIx+PI5XIwDAMPHz5EtVrFsWPH8OKLL6LdZuqWbVu+1iD7mFQPmqZiv5Lo06Kwk2yYPRfASGu1YbDMd7xydalUwvj4OC5duoTNTZZucGJiHKlUCtFoFKZpolqtikWMV8tWVRWNRgPtdhvFYhELCws4c+ZFrK6tgVKAUsDzqG9vZHZdSZLguVzC4uO+s1BzhjzYLj3oR+5O7P+O+5omKR2l+zqt6DNXVFUFRScQhF+bIwwkScLMzAwkIuH2rVtw/Ry5HG3jUebodG0Hlm36gSYEY2NFxOIxHD9+HLlcFkQCLIvllAahIBITmNw9CBX7lnR3rP49Ni55wu8cbl5IxOPI5/LY3NhAMpkUDoZWq9UFPQpCQmzbxsrKChqNBiYmJrGwcApHjx5FpVJBpVIWncmrSbAmDmJ8T1fSDUq7wP7UPNL3j84+y7Jg2TZ0P4cuIQSpVArpTAYEwNZmCdvb25BlGcViUWTA2t7eRqVSQbFYRC6XQy6XQ7vdRqlUQiwWw4kTJ/x0mxZs2/LVxk7oriSxopOUjjIo974w7UfSpSBwKUCDkhNCNtweDJdLxASATKSOxNtj4+gF5iVnWFFKKaLRKLLZjB8pFRXaQhDiJ8sy6vW6cEBbloVYLIaZmRlfE0miXK6AUsC2eGl2GZLfJpaD1+2WbhGUFve3heXhPupEx5zAv3d+GKophIOcuqRdX0rtzCWIZ+V8p91uIxqJIB6PIx6PI5vNIp/LQ1EUNFtNMW6DDjk9oiOVSqFQKEBRZMiyhFa7Jey4Hc2ZLyS7G7+HLulyJsNhM5IkwbLYJPVcF7Ozs7AtS+TUBSDsU6lUSkDMeB5LgNnJZmZmMD01g0wmB0opKpUKKKU+06gzTKPniMHe6YDDl27Dzx/8vmMA7VMQHCbp8mz6fFInEglWBkaWUNkuIx6JIhaN4vz586Ie2vb2toDYnDhxAplMRpgjuIqcTqfRaDTgujZkWYIkEaFCc+ZuWeaQGmZP9130a8IONEKgI4PqMfF/302reb7b7e1tIWwYhgFJkjA7O4t6Iw+ACqmMV5Lg8D6evJ8zXF6+nWPdbdvxkQsEnusBMmNUruMACrOpc2dfUMPrN252dM/ARW+wlCvuHfq+H0k33B5ZlkH9SDQu/EkgXdLu1tYW4rE4C+wBa3K73fZhZRoI6bSJ2/BlWYGsKDBNE6ZlwDBNuK4DVYv4WF2Gkd4LTzl0psulXC4BKYoiypW4jgPXdnD27FlRap3jGS3LQrVaRSwWEx3EY/uLxSIopSIscmtry+9A3U8E7YBSD4qqB17Ss0voHGS2g2w9h0GRSASGaQoPOofVEElCPB7HRHEMtWoVqVSKVYPwMY6tVgsAhBOzWq2CEFadljMS0zTguo4fedax5QajowYz3VHRrodH/UaE2B+QxDjDFQ5LcMtmf2o2m0gmk4IJ8AAV5hzTfbObK2znhBBRJJQHm/BE/lx44ZBIlu2KwnFcKH4+AOqjFhzHhadS8CFPwLG7pLNvpDE4zLwwnHrBTvn3YW3oJeWGv3MSubpB/Lp/zH9kGAaoR6FrGizTBPX+/+qubTdxGIgeX7MiifrY/v/foa3UBBVInXjcB88YQ2nY3dJKOy8EE8CZxCeTM7fEnWVc8TPJa0wEMC+uKcLYjEeSAu+9RyzOQIKxblVH1zDn20FXCGe56M5aXSiF7XaLDddjkDRgsahKfyL+nta6XIDGGI5oeMPxOKHrujLmnANRhPP2zMFzNucfkpuc7jdbuqW+rc5AL1X0rXP4xUHj4zh+4NylowFwonskzne/3xfu3FpTdFznwNfv/zc5oxHuIMYY9H1fqAM5Z7vdDvMSAOS1IaBLRKVw0DAM5clBgFliUWMkaOPO6Dv57XmesbhTYlBt4RbrXYBwZe5fXSv3snQ/m1PtLzLSogcql95k0H3jz6dpwvFwgLM5bFWnnNJbZ1Iqowu+CPiKyHjdFuxflu+XQfeW5pL0d+LuAlHniXvrYLRG/9QiLvnO3/gGWuli2c5LfjRWWmPD/dKERmjbFikBh+mIZYno+twLbNgN2GwyiM/RlKiJ7KU9XZi1tfJTcm+w/yyGFNX4MI7wjYe3TbGS5nmGJ4JnABXHQgihFB2SiIW6ngWAcsMkomI1h5B7TEmomNAMkpSxopG76EEVa+7P/qG2r9XleKrGZFt0XDnaAC4WmtaP4unxMadLW4uGW6drNjyen3/j4aGH0kDyHg2naicigM9V13VF//vXV8whwLctvHNcvz4BRNm1ggQpvRjjAqJ4lW+t3V9rN5Z87GkdlS+9jLXyZCtdJlOly51vyjV6Qbr4ir4ALqkoOuT9FadcKwAN87vOORxejuj7FiHoXNKAMzPlSRDINIR1FpHLGcQlApRguJt24NoyfyPv479wo2E4Yp8AAAAASUVORK5CYII=)
chemistry-General
chemistry-
Arrange the following acids in decreasing order of acidity :
![](data:image/png;base64,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)
Arrange the following acids in decreasing order of acidity :
![](data:image/png;base64,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)
chemistry-General
maths-
The lines
and
lie in a same plane. Based on this information answer the following. The value of
is
The lines
and
lie in a same plane. Based on this information answer the following. The value of
is
maths-General
maths-
Let A(2,3,5), B(-1,3,2),
are the vertices of a triangle and its median through A (i.e.) AD is equally inclined to the coordinate axes On the basis of the above information answer the following Equation of the plane containing the triangle ABC is
Let A(2,3,5), B(-1,3,2),
are the vertices of a triangle and its median through A (i.e.) AD is equally inclined to the coordinate axes On the basis of the above information answer the following Equation of the plane containing the triangle ABC is
maths-General
maths-
Let A(2,3,5), B(-1,3,2),
are the vertices of a triangle and its median through A (i.e.) AD is equally inclined to the coordinate axes On the basis of the above information answer the following Projection of AB on BC is
Let A(2,3,5), B(-1,3,2),
are the vertices of a triangle and its median through A (i.e.) AD is equally inclined to the coordinate axes On the basis of the above information answer the following Projection of AB on BC is
maths-General
maths-
Let A(2,3,5), B(-1,3,2), are the vertices of a triangle and its median through A (i.e.) AD is equally inclined to the coordinate axes On the basis of the above information answer the following The value of is equal to
Let A(2,3,5), B(-1,3,2), are the vertices of a triangle and its median through A (i.e.) AD is equally inclined to the coordinate axes On the basis of the above information answer the following The value of is equal to
maths-General
Maths-
Let two planes
and
are given On the basis of the above information, answer the following question: The image of plane P1 in the plane mirror P2 is
Therefore, the equation becomes 7x-y+2z=9.
Let two planes
and
are given On the basis of the above information, answer the following question: The image of plane P1 in the plane mirror P2 is
Maths-General
Therefore, the equation becomes 7x-y+2z=9.
Maths-
Let two planes
and
are given On the basis of the above information, answer the following question: The equation of the bisector of angle of the planes P1 and P2 which not containing origin is
= +
-> 3x +y = 5.
Let two planes
and
are given On the basis of the above information, answer the following question: The equation of the bisector of angle of the planes P1 and P2 which not containing origin is
Maths-General
= +
-> 3x +y = 5.
maths-
Let
then area bounded by x. f(x), and x=0, x=5 with x axis, is (in sq units)
Let
then area bounded by x. f(x), and x=0, x=5 with x axis, is (in sq units)
maths-General
maths-
(6,6) is a point on the circle
by translation of origin to a certain point the translated equation is
the new co-ordinates of (6,6) are
(6,6) is a point on the circle
by translation of origin to a certain point the translated equation is
the new co-ordinates of (6,6) are
maths-General
maths-
The locus of points from which lengths of tangents to the two circles
are in the ratio 2 : 3 is a circle with centre
The locus of points from which lengths of tangents to the two circles
are in the ratio 2 : 3 is a circle with centre
maths-General