Maths-
General
Easy
Question
The length of AC in the figure
![](data:image/png;base64,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)
- 4
- 5
- 6
- can’t be determined
The correct answer is: can’t be determined
Related Questions to study
maths-
In the figure shown, PT and PAB are the tangent and the secant drawn to a circle. If PT = 12 cm and PB = 8 cm then AB is
![](data:image/png;base64,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)
In the figure shown, PT and PAB are the tangent and the secant drawn to a circle. If PT = 12 cm and PB = 8 cm then AB is
![](data:image/png;base64,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)
maths-General
maths-
Find the value of ‘x’ in the given figure
![](data:image/png;base64,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)
Find the value of ‘x’ in the given figure
![](data:image/png;base64,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)
maths-General
maths-
‘0’ is the centre of the circle and ![B A C plus B O C equals 120 to the power of ring operator end exponent text then end text angle C O B equals](data:image/png;base64,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)
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)
‘0’ is the centre of the circle and ![B A C plus B O C equals 120 to the power of ring operator end exponent text then end text angle C O B equals](data:image/png;base64,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)
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)
maths-General
physics-
A stone dropped from a building of height
and it reaches after
seconds on earth. From the same building if two stones are thrown (one upwards and other downwards) with the same velocity
and they reach the earth surface after
and
seconds respectively, then
A stone dropped from a building of height
and it reaches after
seconds on earth. From the same building if two stones are thrown (one upwards and other downwards) with the same velocity
and they reach the earth surface after
and
seconds respectively, then
physics-General
Physics-
A train moves from one station to another 2 hours time. Its speed-time graph during this motion is shown in the figure. The maximum acceleration during the journey is
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)
A train moves from one station to another 2 hours time. Its speed-time graph during this motion is shown in the figure. The maximum acceleration during the journey is
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)
Physics-General
physics-
In the given
graph, the distance travelled by the body in 5 will be
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)
In the given
graph, the distance travelled by the body in 5 will be
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)
physics-General
maths-
In the given diagram
and
Find the value of DC.
![](data:image/png;base64,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)
In the given diagram
and
Find the value of DC.
![](data:image/png;base64,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)
maths-General
maths-
In the given figure, find the values of x y, and z.
![](data:image/png;base64,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)
In the given figure, find the values of x y, and z.
![](data:image/png;base64,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)
maths-General
maths-
ABCD is a quadrilateral. AD and BD are the angle bisectors of angle A and B which meet at ‘O’. If ![C equals 70 to the power of ring operator end exponent comma L equals 50 to the power of ring operator end exponent. text Find end text left floor A O B](data:image/png;base64,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)
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)
ABCD is a quadrilateral. AD and BD are the angle bisectors of angle A and B which meet at ‘O’. If ![C equals 70 to the power of ring operator end exponent comma L equals 50 to the power of ring operator end exponent. text Find end text left floor A O B](data:image/png;base64,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)
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)
maths-General
maths-
In the unit Square, find the distance from E to
in terms of a and b, the lengths of DF and AG , respectively.
![](data:image/png;base64,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)
In the unit Square, find the distance from E to
in terms of a and b, the lengths of DF and AG , respectively.
![](data:image/png;base64,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)
maths-General
maths-
ABCD is a Parallelogram,
and
If DC=16cm, AE = 8 cm and CF = 10 cm, Find AD
![](data:image/png;base64,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)
ABCD is a Parallelogram,
and
If DC=16cm, AE = 8 cm and CF = 10 cm, Find AD
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAOUAAACiCAYAAAC+lArCAAAgAElEQVR4nO296XNc573n9zm97wt6Ry9o7DsBipRsSZaoxdb1WL6Kr7cZx/FMTdXEU0ml5kX+hbzIi1Sl6ubN3NxKKuVbublzJ6nE270T24lkyRIlS6ZIgCBA7N3oRqM3oPd9OfOC7jOkLFEiiKVJnk/VKYDE0k83+nue5/k939/vJ4iiKCIjI9M3qM57ADIyp0a7Qr1cIJku0eyKdAEEBYJChdZowWw2YzVrUQLCOQ/1bmRRyjy2iMVdEjfe5n/5m/dJNjvUUKBQalAbHATmnuPyly7x0uUhzApQnvdg70IWpcxji9jIUUxFufaHQ/x/9gzTIx6cYoN25YCNj/4v/mFng83qj/kXT1txGZV9M1vKopR5bBE7DVr1KpmsitmReea/MsW4UKNV2qO9vcxH0ZtcXTvkOxdMOGVRysicFUpQGLB6AwRGxxlXtem2faRHf8l+q8VGo0G32z3vQd6DLEqZx5wudGsUU/vs75jRd/OUY+/z9mqDnGGGr35lGJtRg+K8h3kXsihlHm+6dWhFWP7/f87R9vsMdGs0cjusbdRQhsOEs0fU2146KPom2NNPNwgZmVNBBASFAkGpQq0xYnCMMTHlxa0psPPOu9xOlTlq9s9xvTxTyjzeKAwI2lle/NF/wze/folFzZ3/bkT+H/7h//gH/vJ/+xt+9ezTWGxWXM7+CPXIM6XME4naNciA105AfUThsEW1Ks+UMjInTrfbpVqtks1mUavVGMulT/su6NYp7Mc4OCiQVboI2NQYdf0xS4IsSplHFFEUqdfrVKtVKpUK5XKZYrFIOp0mGo3i9XqZdaRBbEPniMT6TZbtTWqqLnTKpFausbLXQpx4lrlhM25L/4hSkA3pMo8aoijS7XaJRqOsrq6ytLTE0tISt27dIh6P02q1eOmll/iX/yRMWF/ix//tz0hptLQ1alSA2FVg8E4z88Lr/JPv/zO+85QTl1HVN3s5WZQyfY0oijQaDVKpFLu7u+zu7rKzs0MkEiGTyVAsFmk0GtjtdhwOB91ul62tLVqtFj/+59/mv/j+f8byrQPqKOgquBOKRUCls2JxefEGAgxa1GiU/TNTystXmb6iVqtRKBTIZDJks1kymQzpdJqDgwMSiQS5XI5arUaz2cRoNDI2Nobb7SYQCBAIBOh2u1y7do2f/vSnHORaYBnmyjeeQhD6R3SfhyxKmXNBFEU6nQ6NRkO66vU66XSaSCTC2toaW1tb7O7ukkgkaLfbGAwGfD4fExMTTE9PMzMzw/j4OKFQCKVSiSAI5PN5fD4fv/nNb0gmk+zt7WGz2WRRysh8Ht1ul2w2y8bGBrdu3eLWrVusrq6SSCQoFou0222CwSDDw8NcuXKF6elpxsfH8Xg8GAwGNBoNWq0WtVotCRLAZDIxMzOD3W4nk8lw+/Zt5ubmUCj6Zcf4+ciilDl1Go0G+XyeeDzO3t4esViMWCxGKpUim81SrVZRqVSYTCaeffZZvF4vfr8ft9uN0+nE4XDgcDiw2+3o9fr7CkypVGIymRgeHiYWi3H79u2+M5x/HrIoZU6UVqtFuVwmn89LVzab5eDggGg0SjKZ5PDwkGKxiCAImEwmgsEggUCA4eFhwuEw4XCYYDCIVqt94BlOEASUSiUTExPs7++zublJo9FArVY/MktYWZQyx6a3L+x0OnS7XdrtNoVCge3tbVZWVlhZWeHWrVtEIhEODw9RKpX4/X4mJiZ49dVXmZ+fZ25ujlAohMlkOrFxKRQKJicnuXr1Kru7uxSLRXQ6HWq1+sQe4zSRRSlzLNrtNpVKha2tLTY3N9nY2GBjY4NoNEoul5MCM36/nz//8z9nZGRE2hNarVaMRiMGg0HaH54kgiAwNTWFz+dja2uL5eVlnn76aZxO54k+zmkhi1Lmc+l0OhSLRVKpFAcHB9KVTCZJpVLk83nq9ToKhQKHw8HExAQ+nw+v14vH45E+ejwejEYjKtXpvu0EQcDn8+Hz+VAoFNy4cYOJiQlZlDKPJqIo3mNdK5fLFAoFEomEdHifSCRIp9MUi0UMBgMDAwMEAgHGx8cZHx9nbGyMUCjEwMDAue3jzGYzPp8Ps9nM9evXee21185lHMdBFqWMRG9fuLu7y8rKCjdu3GBpaYm1tTXS6TSiKGI2m5mcnOTy5ctcuHCBxcVFhoaGGBgYQKFQIAjCPdd5IQgCg4ODBINBrl+/Tj6fRxTFRyLYI4vyCUUURcrlMolEgp2dHXZ2dqSZMJfLUalUALDb7bzwwgsEAgGGhobw+/0MDAxgtVqxWCxYrVYMBkNfBlF8Ph8jIyP86le/4uDggGKxiNVqPe9hfS6yKJ8QyuUyuVyOTCYjXXfvEYvFIvV6nVarhd1uZ2RkRDov7FnYBgcHcTgcp74nPCm8Xi9jY2M0m02i0SipVEoWpczZI4oirVZLsq31Pu7v77O9vc36+jrb29vSMYUoiphMJoaGhpifn2d6eprp6WlGRkbweDwolf1SuebBcTqdjIyMYDKZ2N3dJRaLMTExcd7D+lxkUT5mNBoNkskkq6urrK6uSva1TCZDtVpFqVQyNDTEzMwMk5OTkn3Nbrej0+nQaDRoNBpUKtUjLUgAtVqN3W5nenqaVCrF3t7eeQ/pCyGL8hGmWq1yeHjI3t6eZF+Lx+OkUimOjo5otVpoNBp8Ph8LCwsMDg7i9/txuVySdc3hcGCz2dBoNI9EEORBEAQBs9nM4uIiH374IfF4nE6n0/c3G1mUjwCiKNJsNikWi+RyOcm+lk6n2d/fJxqNkslkyOVy0mxos9kIh8OEQiGGhoYIh8MMDQ3h8/keKcvZw2IymXjqqad477332N/f5/DwEIfD0dfClEXZZ4iieI99rZfelMvluH37tmRdW11dZX9/n0qlgkqlIhwOMzMzw/z8PPPz88zOzuLxeNDpdOf9lM4Vo9HI4uIiRqORdDrN1tYWVqtVFqXMF6fVapHL5STr2vr6OltbW8RiMUqlEoIgYLFYCIfDvPTSS4yOjjI2NobT6cRsNkvWNb1e35fHFGeNTqdjZGQEt9vN0dERt27d4sKFC2i12vMe2mcii/IcabVaHB0dkUwmP9W+ViqVaLfbqFQqQqGQZFnrXR6PB7fbjdvtRqfTPVI5g2eFUqnEaDQyNDRELpfj1q1btFqt8x7WfTkjUXbodmrk9g8o1JWIeiuegAO90F99AU+L3nK0Wq1K1rXeuWEsFpMO7VOpFIeHh9TrdYxGI263m5GREcbGxqRrcHAQi8Vy3k/pkUIQBMbGxlhfX2d9fZ1qtYrVau3bm9jZiFKs0qpu88Hf/4T3Iga648/xg//6dUbVYHoC4g29eqRra2ssLy9L1dfW19cpFosolUqsVisLCwu8+uqrLCwscOHCBfx+PyaTCUEQ7rGwyTw4Y2NjWCwWrl27xtHREQ6Ho2/322ciSrGSpr79W958f4VrW3X0Rx2cr7yGfUSF6TFTZbfblWbAnZ0dtre32d3dZW9vT8qm0Gg0OBwO3njjDSk6Ojg4iNVqlexrFosFnU7X1wGJR4mxsTECgQDvvvsuN2/exOFwMDg4eN7D+lTOQJRd6rkUB0sfstHyoNZFsda3+d3vY7zq9BEw6fum3uaD0u12KRaLHB4eSta1dDot7RGTySTValXawwwODuJyufD5fAQCAcnC5vF4sNvt8ix4irhcLvx+Pzqdjps3bzI/P/8Ei1JsUEgnuf37Derh/5KFYRPeZox/+87HpJ57kZpPj/EReC92u11arRb1el26qtUq0WiUzc1NNjc32dnZIRqNUi6XUSqVmM1mxsbGmJqaYmpqiunpaYaGhrDb7X27n3lcMRgMUnBsdXWVw8PD8x7SZ3L6ouwkyaSifPBxk+AP53jGq0a/Waf9k7fZyFxgrOVm7GQTz08cURSpVCrE43Gp8lrvrDCfz9NqtTAYDAwPD/P8888zPT3N1NQUY2NjGI1Gqepa75IFeT643W5GR0d59913Jd9vP65OTl2UndQmqb0DrtenuTLhZHQMut0d5hq/YWcrQ2R0mLFgf52n9bLse/a1vb099vf3JdeMIAjodDpmZmakTIrBwUGcTicDAwNS5bXeIXU//uGfRDweD5OTk/zjP/6j5O7px2oEpyzKDvnIJrHdGBFtkG+KBTpdgZqgJ2yMsr0eZXd6nFbQzXnIstvtSm6ZfD4vfUwmk8TjcWKxGNlsVpoNtVotAwMD+P3+e6xrwWAQp9P5yKQ0Pak4nU4mJycRBIFYLMb+/v6TJsouiBX2NrbZ2o5StYU4WrvOrbSG6n4BnbtDZG2V3YUpis+5GRDgNOeTXlOYTqdDu92m3W5Tq9XIZrPcvHlTWo6ura2RzWalsvgjIyPMzs5K9rWpqSnsdrvslnkE6eWJWiwW6Xx4YWHhvIf1J5yeKMUG1FfY3M6wu9fEE8iys1YirRHo1vPULQHE7dskd3ZYKV3kebOA6hRVWa/XSaVSknVtfX2dnZ0d9vf3qVaraDQanE4nTz31lHRgPzw8jN1uv6fymk6nk2fERxSFQoHZbGZ2dpZ8Pk8kEjnvIX0qp/buEpsNGlt/YCurphF4nu/+8KuMqEEvAN0yYnMGzf/8W+qZCNc3K3xp0YjqBDof9TIqMpmM1BTmbvtaOp2mVqshiiIajYaZmRmp8trdVdfcbjcOh+OxTGl6UhEEAb1ez4ULF3jzzTeJRqM0Go2++xufkii7tOslkh9fY785gGHhq3z7W68TUoBOAMQKYjtK6/33+HV+n5tLB1TmRlErhQey3fWy7HuV10qlkpTeFIlEpEP7VCpFoVCg2+1iNpvxer0MDw/fY19zuVzo9frTeTlk+ga9Xs/CwgJvvfUWiUSCbDaL2+3uq+3I6YhSbNKoHXLjwxVK+m/hmZxiRHmXz1UwgHKUhXk/7/8uz4cf3yD9T8PoNQoMD3DDarfb5HI5qXHojRs3WF5eZmNjg0ajgU6nw+PxsLCwwMsvv8zi4iLz8/N4PB60Wu09trV+ulPKnB49UdrtdrLZLKurq1it1idAlIIGnX2EZ/+r/4lhwYN2wIeSuwM5AoJCzeDX/g3/6pLId5Uugjol2vvoot1uS62ze/a1SCTC/v4+hUKBdruN0WhkeHiYZ599VupH4fV6JduaxWLBbDYfq0eFzOOBSqWStiq5XI7l5WUuXrx4om0THpZTWr4qUGkteOaex3Of7zEE5pkK3Pu/oijSbrelxjDpdPqexqG9fWGj0aDT6aBWqxkfH8ftdkvlLnqXy+XCbDafzlOUeSRRKBTo9XpCoRDb29ssLS1Rr9fPe1j3cC5hxE6nQ7PZRKvV0u12aTabknWt18k3Go2ysbHB5uYmkUiEWCwmnRXabDYmJycl+9rU1BSBQACj0SgvQ2U+F0EQGB4e5uOPP2ZtbY1SqdRXtXvORZTVapXd3V2Gh4dpNBpEIhFu3bollbrY2tqiWCwiiiJ2u53R0VFef/11qQJbOByWKq/1rGuyc0bmQRgeHsbj8fD73/+eg4MD/H5/3+SpnrkoE4kEV69e5Sc/+QlOp1Mqf1EoFNBoNBgMBp555hlpKer1eiX72sDAADabDYvFIgtQ5qEYGhoiFArRaDRYW1sjHA4/uaJMpVJcu3aNX/7yl2g0Gmw2G36/n/HxcYaGhu65/H5/3xc5knk0cTgc0ux4+/ZtLl26xMjIyHkPCzgHURaLRbLZLHCnRk0oFOK73/0uP/7xj7FYLLIAZc4EjUaDy+UiHA6zublJOp0+7yFJnPm5QC6Xk14AlUollbmQjylkzhqn08n09DSRSIR0Ok2n0znvIQHnJMpUKgXcydLIZDJEo1FAPsCXOVscDgdzc3NSr5V+mS3PRZSFQoFQKIRarZYK5FYqlb65U8k8GfT6jGi1WhKJRN8Y1M9UlN1ul6OjI0RR5Dvf+Q4ul4tKpUIqlSKRSPTdIa7M443FYmFkZISBgQGSySTb29vnPSTgDEXZE2ShUECn07G4uMjU1BROp5NqtcqNGzfI5/NnNRwZGSmWMTs7S71eZ2tr67yHBJyxKHvZGjqdjomJCamiWLVa5dq1a+RyubMajowMcCcKOzs7S6fTIRKJUK1W6Xa75zqmMxVlIpGgWCxiMBgIhUIsLi4SCASoVqt8/PHH5HI5RFE8qyHJyEii1Gg0JBIJkskkzWbzXMd05qKs1WpYLBZcLhdzc3P4fD6KxSI3b97k6Ojo3O9SMk8WPVG6XC7y+Tw3btygUqmc65jOTJSdTodEIoEgCLjdbql9m9/vR6PRUKlUiMVifROWlnkyUCgUUrV0lUrF9evXnxxR9mZKhUKBx+NBEARsNhuDg4P4fD4UCgW7u7vs7++f1ZBkZKRyocFgELPZ/GSJsjdTKpVKPJ47WZaCIDA4OMj09DQajYbt7e1Hpi+9zONFKBTC5XKxsrJCsVg81zPzMxFlL2cymUxKmd89fD4f09PTdLtd1tfX++YAV+bJIhQKEQqFyOfzRKPRcz0JOBNRNhoNMpkM5XIZi8XyqaIUBIFEIiG1DJejsDJnyeDgIOFwGFEU2dzclKyg58GZiLJarRKPx2k0GthsNmn5Cnf8h8PDw1itVqrVKslkkmQySbvdPouhycgAdyx3fr+fgYEBtra2SCaT5zaWMxFlpVJhb2+PRqOB3W6/R5Q6nQ6Xy8XIyAgmk4lMJvNItMCWebxQKpUMDAwwPT3N3t4eBwcH5zaWMxNlLBZDr9djs9kwGAz3fN1oNHLp0iUcDgeZTIabN2+e+wGuzJOH3W5ncXFR8mI3Go1zGceZiTIej0udij9Z9t9kMnHp0iVsNhupVIqbN2+e2wsi8+Ris9lYXFyUTgoODg7OJbZxZqLsdTiyWq1/8nWDwcDCwgJWq5WjoyM2NjYolUryvlLmTLFYLMzNzWE2m0mlUudmUD/T5etniVKv1zM5OYnT6UQQBAqFApFIhFKpdBbDk5EB7rwPBwcH8Xq95PN51tfXH8+ZstVqUSqVyGazuFyuTxWlQqFAq9UyMjJCIBCg2WyysrLS1y2wZR4/eqlcExMTtNtt1tfXz2Ucpy7KcrnM0dERtVoNr9f7qaKEOy/I+Pg4oVCIWq3GjRs3pAJbMjJnhVKpZHp6GrVaTTQapVgsnvk26tRFeXh4SCaTQalU4vP5PlOUAGNjY4RCISqVCtevXyeTycgmApkzRaFQMDU1hcViIZlMEovFzrwixqmLMpvNkslkUCgU+Hy++xa87Ymy2Wyyvb1NJpORj0ZkzhSlUsnExARer5dKpcK1a9coFotnOoYzmSkLhQIOhwOLxYJGo/nM7x0YGGBwcBCn00mj0SAej5+rs0LmyePu7CWDwfD4irJcLuP3+zEYDPet7arT6fB6vYyOjqJWq9nb25PKT8rInBVqtVrq2nb9+nUKhcKZbqPOZPlaqVQIhUL3nSV7eDweLly4gF6vJxKJsLOzc9pDlJH5E3rtFJeWlsjn82daEeNMZspqtfqFRel2u5mbm0OhULC5udk3FcZknix6/W0ajQY7OztnmjVyaqIURZFarUYul6PdbhMKhdBqtZ/7cw6Hg6mpKfR6PYeHh1KnZrlQs8xZ4na7GR4eRqvVnnlFjFMTZafTkeq8qlQqhoaGvtBMabFYCAaDuN1uRFEkk8lIDWNlZM4Ki8UiuXui0ejjIcp2u008HqdUKmE0GgkGg19IlIIgYDQamZ+fx+VykcvlWFpaolarndZQZWT+BEEQsFgsXLx4kWQySTweP7PHPkYrPJFS9Aa7q9d5e7NE95NBKZWP4MwMExfD7MbjVCoVKcT8RUQJd6KwCwsLLC8vk8lkuHbtGi+//DJ2u/3Bhysjc0zMZjOXLl3i7//+79nf36dcLmM0Gk+9EdUxZsou1YM1Nj/8Nf/nb5ZY2Yiyn0iQ+ON1kDzkqFil0moRi8XpdDrY7fYH6j2p1+tZXFzE4XCQzWZZXl6WS4TInDk9USoUCg4ODtjf3z+TKOwxZsouzUKao1SS1forvH5xjqdGbPTkJqhs2H1e9GKbg/04arUal8v1QL0ntVotMzMzOJ1OyuUyGxsbkgdRrVY/+JBlZI6ByWTiwoUL2Gw2MpmM1Ib9tBsbH7+Ts0qHwjbE2MwCl+bdSFIRlKjUag6PshzE42i1Wlwu1wP96l5phkAggMPhkJqvBAKBe0qJyMicJmq1moGBAYLBIPF4nNXVVb72ta99oVOEh+H4ohS7iJ06tWqZUkn/R1EKqI029BoV3VaL/f19XC4Xbrf7gX61IAhSBfVwOMz6+jqrq6vMzMzIopQ5M3rvw7GxMRKJBGtra5/IGOmCWCW7vcbOxiarkTT5WoeuSo/e4sDuCTE5M0XIY8Wh/+IrxWOKUkRsVehk1rj5hy5i2vrH5asS+/gzhAKDKCoVMpkMPp8Pg8FAoVCQfrper5NOp6V6PZ8sD9LD5XLh9/tZWVnhxo0bXLp0iVAodLwhy8gcE5/Ph1qtZnd3l1wuh8FgQK1W0GkUONz+iA+vXufG2h6xfI1mB1AoUWp0aA0Okm0TL1zU4wjqvvDjHXumFKtHNDf+X35RfJe3DWoEBEDF5LfMvPi8mdFOmmq1iiiKVKvVexJGY7EYv/jFL/jSl77EyMjIfaOqZrOZWq3GRx99xMWLF++pGSsjcxZoNBrUajWHh4dsb29jsVgYsGuoHa7zwV//d/yvK1ZKwSv8s//8z3gmZEBbiRG/9T7v//of+eAPF3HYvVw6C1EqTF50i6/xr//FUzwzPoAKARAwusM06jVW/xCn3W7z3nvvsb29jdFolH62VquRSCS4du0aJpPpM4M3tVqNdDotNZz9u7/7O958883jDllG5liUy2UODg5Qq9V8/PHHDA0NYWmXSF/7B/7dHyw4X/oWb7z+Nb4+6cSiU6DoOPH4wow99So5ZQiX0/xAj3dMUQqg1qMcGGZ8doHLC17ultX6+jrxeBxBELh48SILCwv3nO3s7e2xsbHB/Pw8Y2Nj950pI5EIV69eZX9/H71ez/DwsLyElTlx2u025XKZTCZDOp0mlUqRzWYlM7pKpZIS8NvtJpV0nL2bN7itnOCN6Qs8f2EIv7H3HjdgNNsY8A0RbPPA55rHD/Tch1KpRCKRQK/X873vfY8f/ehH9wzsnXfe4a233uL111/nG9/4BqOjo5/5u65evUqj0SCfzzMxMcH3v/99Xn/99dMYtswTQrfbpdFoUKvVqNVqVKtVisUiBwcHbGxssL29jcFgQKvVotfr0ev12O12RkZGCIVC6PUaStFDYjsJGoE3CPjcDBk/KTwBUPIZ4ZL7cmqiTCaTeDwezGbzQzkgHA4HFy9e5N1332VnZ4fbt2/LopQ5Nj1Bbm1tsbq6ysrKCjdv3mRjY4N0Ok273cZqtTI8PMyXv/xlZmZmmJubIxQKMTAwgFarRaMR2d1oUCxXMThs6PU6TvL0/FRF6fV6MZsfbD39SRwOB4uLi+j1emKxGJubm4iieOpWJ5lHn263S6VSIZFIEI1GiUQiRKNRYrGYlHzfbrclj6vH42FoaAiv14vD4cBut0uX0Wi8yybaRKFQoFQqaLebdDsdTtJrdgxRKjD6Z5h4pss/LQ4TsOvv8eqJokipVCKdTjM/P//QorRYLIyMjOBwOEin0yQSCY6Ojj610rrMk4soilQqFQqFAoeHhxwdHXF4eEg6nSYej0vvm3K5TL1ex2w2S2aUUCjE0NCQ1A7PZrN9jnNMgV5vYMBuppVIkS+XKXVh4ITSO47xrlYyMPcaV+Ze48qnfLXZbFIsFjk8PMRsNtNqtf6kZXo+n0ehUHyh2U6j0eBwOBgaGpL6Bm5vbzM9Pf3Qgpd5NBFFkU6nQ6vVotVq0Ww2aTQa7O/vs7GxwerqKuvr61L3LFEUMZvNDA0NScvR2dlZxsbG8Hq9x1h1KbEMDBAKD6L+cI3Y/lPslkaxWtQoBBAQEbttOs06DVGLSqVCqz5188Bn07tDVatVbty4webm5p98T89tr1KpvtALolaruXDhApubmxSLRa5duya1w5Z5shBFkWazKQnw9u3b3L59m/X1dTKZjHQ2HgwGWVhY4Nvf/jaTk5OEw2EcDgd6vR6dToder0ej0RxzGySgGxzB/+UXeO6n/zvr74T4pd1D8M9nsKtALbSp56Mkl97k9/UvMzwS5kuTn13F8ZOcuCgzmQyHh4dotVoWFxexWq1/UjWgl+0xNzd335KTPdRqNXNzc/zud79jdXWV999/n1dffRWfz3fSw5fpM6rVqlSBIpFISEvRVCol3fyVSqU0E3q9Xnw+H263W7pcLhc2mw2tVntisQil0cfA2BW++4MYv1reYePn/5b//roPt1WLql2hVsyTOapgeWYOd/icj0TS6TS5XA6bzcZLL71EMBj81BdCEARcLtcXmu3UajXT09O43W4++OADqcJYt9t9oOwTmf6m0WhQLpcpFovSlclkiMfj7OzskEwmyWQy5PN5VCoVZrMZj8dDOBxmdHSUkZERwuEwgUAApVJ5usFApQWDc4bnvvVd2oY3+d2H66ytHXJo0iK0m3TR0LUOM+6x4rA+WGz2VGbKUqmEy+ViamqKoaGhh/6dKpWK0dFRPB4PrVaL3d1dCoUCrVbr1B37MqeHKIrS1e12yWazrK2tsbS0JF17e3uUSiWUSiWjo6PMzc3xyiuvsLi4yOzs7AMlz580gkqP1v88X/uXz/HyD0pUDw9IHDXo6OyYB5z4HXeCoA96azgVUTabTYLB4IlFR3tu/VAoxOjoKLu7u2xubjIxMSG7ex5Bms2mFLDb2tpia2uL7e1tDg4OyOfzdDodzGYzY2NjvPTSS4TDYSkCb7VaMZvNmEwmTCZTn0TgBZQaAwZnkJC1i6hQoVRrjiVIOCVRNhoNxsbGTjQhWRAEhoaGGBsbkw5+FxcXZVH2Oc1mk0KhIFnXUqkUyWSSZDLJwcEBxWKRer1Ot9vFYsGfnfAAAA80SURBVLEQDofxeDz4fD4GBwfx+Xz4fD68Xi9arfbUE4yPi6BQodKqUJ3Awu3ERNlbgmQyGVqtFoFA4MTvYqFQiPHxcX75y1+ysrJypsWMZO5P7+9/t3WtV2K0Z/rY2dlhb2+PdDpNuVzGYDDg8XgYHh5mcnKSiYkJJiYmCAQCmEym835K58aJirJWq3F0dIQoiqcmyomJCbrdLrdu3TrTsn8y96fb7VKtVllbW5Osazdv3mR7e5t8Po8gCAwMDDAxMcFrr73G7Owsc3Nz+Hw+zGYzSqUSlUqFUqns29nwrDgx1fTOjnpnkMFg8MTr6VgsFmk504vM9SK9su3u7Oh0OhQKBeLxOJFIRLKvxeNxqRdpr1HOlStX8Pv9BINBvF4vAwMD2O12bDYbdrsdnU7XJ/vC/uFERRmLxahWq3i9Xvx+/4m/2BqNBqfTydTUFNevXyeZTBKNRrHZbCf6ODL/iW63S6lUIpfLSfa1bDYr1UI9ODigUChQq9VotVrYbDaCwSA+n0+yrYVCIQYHB7FarfIR1hfgREW5t7dHrVaTzo9O4w5os9m4fPky29vbUt2U+fn5J37JcxJ0u106nQ7NZlOyr9XrdXZ3d6U6SRsbG+zs7JDL5VAoFFitVsbGxnj66aeZnZ1ldnaWcDjMwMCAvHo5JicuSo1GI6W4nMYfxWazcenSJX7+85+zu7vL0tIS3/ve9078cZ40emVbYrEYa2trrK2tSfa1QqFAs9lErVYzNDTElStXGB8fZ2Ji4k4WvsWCTqeTruPb12TgFESp1+txOp2n9kexWCzMz89jsVik861Wq3X6Do7HjGKxSDqdZn9/n3g8LtnYeo6sVqsl9Wm8ePGidCxxt3XN6XTK2TqnwInvKY1GIw6H46R+7Z+g1+vx+/34fD42NzdJJpMcHh7idrvPzdnRz/SSekulEoVCgWKxSKFQIJlMEovF2N3dJZ1Ok81mqVarqNVqbDYb4XCY4eFhRkZGpIx7t9stbxPOgBMRpSiKNBoN9vb2uHTpEk6n8yR+7aciCAJarZapqSnW19cpl8usra2h1+tP9WbwqPBJ61qj0SCZTHLz5k2WlpZYXl5meXmZdDpNo9FAq9UyOTnJhQsXWFhYYGFhgenpaQYGBuQZ8Jw4kVe9V0OnUChgt9tPVZQACoWC6elpPvroI3Z2drh69apkw3qSqVarpNNptre3pYa7vYanPf+ozWbjmWeeIRQKMTw8zPDwMDabDYvFIlnXDAaDPCOeIyciynK5TCqVotFo4HA4Tl0cPVH6fD5u3LjBBx988ETV7emtTHqZ9T3rWiqV4uDggIODA6rVKs1mE0EQ8Pl8zM/PS2lNPftab4+oVqvl/XgfcSKiLBQKJBIJRFHE5XKdiShHRkYYHByk2WyytLRELpej0+k8dnd4URRpt9uSda1arVIulzk6OmJ3d5etrS0ikQixWIyjoyNarRYGg4FAIMD09DQTExNMTk4yNjaGx+NBp/viRYFlzocTEWWvPJ9CocDhcJz6YX7PsuXz+bBarSSTSclJ8rh5JlutFrlcjtXVVcm6trKywu7uLtVqFa1Wi9vtZmZmhldeeYW5uTnm5uakLPuebU2pVMoH948IJzZTptNp3G635GM8bRQKBYFAgKmpKWkflUgkmJiYOPXHPi1arRbZbJa9vT3Jvra3t0cikZCOKTQaDV6vl/n5eYLBoFT86W7rms1mQ6PRyCJ8RDkxUWazWfx+PyaT6VT3J72iSblcjmazKbVDWF1dJRKJPBKi7D2HuyuvZbNZstms1Hw3mUxSqVSo1+vAnVKbbrcbv99PKBQiGAwSDAal2royjw8ntnzNZrOMjo7e0zPkJOh2u7TbbZrNpmT7KpfLUnJspVKRskZ2dnZO9LFPik6nc89zaDQaVCoVNjc3pcJPm5ubRKNRaUlqt9uZnp5mZmZGsq8NDg6e+k1P5vx5aFGKoijd8V988cUTFaUoipTLZeLxOLdu3WJlZYXV1VU2Nzcxm81S2o9KpSISiUjBpn5603a7XfL5PJFI5B772ubmpnRDMZlMDA8P88YbbzAxMcH4+DjBYBCDwYBOp0Or1aLT6eQo6RPCQ4uyWCxK+51QKPTQoux2u+RyOd566y12dnZIp9OUSiW0Wi1arZbp6WkuXbok2b3S6TTRaJRoNEo2myWVSuF2u89lPyWKIkdHR1IGRc/CdnBwIBV8EgQBjUbD1NTUPVn1LpdLsq45HA7MZrO8J3xCeWhRHh4eShkDwWDwRGbKcrnMb37zG/b29hAEAafTid/vZ2xsjLGxMUZHR7FYLKjVajY2Nvjggw/IZrOk02m2trYYGBg4dctdu92mXq/fY13L5/NSifxYLEYmk5GOKXQ6ndSq+277WiAQwGazyQKUkXhoUSaTSXK5HFqt9kREqVAoUCgUFItFLl++zFe/+lW+8pWvfGZE12w2c/nyZd5//3329/dZWlri4sWLJyrKXp3abrcr2dd6y+pe1bWbN2+yvLxMsVik2+1itVqZmpri8uXLLCwscOHCBSYnJzEajbIAZe7LQ4uyZ+EymUy4XK4TKfmoVCoZGBig0+lQrVbv+yY2m808/fTTWCwW9vb2+Pjjj/nhD3/40GO4m1KpxP7+PltbW2xubkpBmV5F7l5mzNe//nXJuhYMBrHZbJJ1zWg0YjAY5D2hzOdyIqJsNBq4XC50Ot2JnFFqNBpGRkaIx+OkUqn7vpF1Op1UAa2XgFur1bBYLA88I/UKP31a5bWeja1er9PpdFCpVJJLpmdf610ej0c2dMscmxMRZafTIRQKnZhpQKvVMjMzw/r6Ont7e/eNqKpUKux2uxStzGQyZDIZbDYber3+Mx+j2+3SarUk61qlUqFcLpPNZqXKa5FIhHg8TqlUAu7Myr2Kej372ujoKHa7/cTrEck8uZzInrLT6TA4OHiiopyenuZv//ZvicVikqf1fjNmrxr7wcEBKysrOJ3O+4qyl9LUq7y2vLzM7du3iUajtFotqVVar+ra3NwcU1NTklvmbuuavEeUOUmOLcqeKyWTyQDg9/tP7M2pUqnweDzYbDZKpRLRaJRAIHDf/er4+DiBQID19XXee+89ZmZmGBwclLo0HRwcEI1G2d3dlexrqVSKfD6PKIoYjUYmJyd54YUXGBoawu/3S41helcv4ivvC2VOk2OLst1uk8/nyefz6PX6E50pFQoFer0er9dLvV5nY2Pjc4NIo6Oj+P1+qtUqV69eZX5+XuqTmclkpHIXveBMr9xFKBSSqu8Fg0HJwtYzdMvInDXHFmWj0ZBKSrrd7hMVZY9gMMjh4SGrq6tcvnz5vt/bKxHS7XZZWlriZz/7Ge+++y7b29vE43E6nQ5GoxGXy8Xs7KxkX+t185IbBcn0C8cWZa1WIxKJUKvVsFqtDA4OnvjeKhgMsr29zerqqmTM/iS9c8NeHqHH4yEej0uNZUdHR3n55ZeloMzg4KBkXetdcpRUpp94qJkyGo2iUCik/VZvr9UzYN/d/rr3+Sf/fb+vbW9vs7KywsbGBn/1V3+F1Wr91J9ptVp0Oh3W19fJ5/MolUr+4i/+ghdffBG3243T6cTlcmG320/cMC8jc9IcW5T1ep1oNCr1mv/tb39Lp9P5k4yIXlbEJz/vfbxbVL2fbbfbdDod6vW6FIx555130Gg00vfc/VEURSkaOjMzg8lk4gc/+AFXrlyRgzIyjxwPNVP2km9/8Ytf8NZbb1Gr1ajX67TbbcmaBtwjjE9+rlQqUavV6PV66dLpdFKGhMvlkg7je66Yu79+98/p9XpMJhMej+czO0jLyPQ7xxalw+Hgm9/8Jk6nk1KphMFgQK1Wo1ar0Wg0aLVa6WOvanbv493/1zvzUygU95z79S5BEKSmsXd//dO+tzdbqtVquRaNzCPLA4lS7LYo7lxjYy/FWrzA/n4CpVqHxWHG7h4kODpO2GPFYdahUatRqVSSUHuff/L/Hr52TAvEIrvXlogmDknXxXu+Kig1CKYw0zNDDAfsGOTJU6bPeQBRiojdFkc3f83b727y9p4Cn8OAUqlCrb2z16u2lKisfrxhLz677tjtpR8IsQWdFGu//SlvLyfYwoFDL6DoPbDKgMLdROccwOeXRSnT/zyQKOm2qCbXiaRbZPWX+NGfTaBoFsjF1tm6+Wv+/d/8Nb946V/zje+8wY+/PoqJMxAlHeiWSW2tkyrZUT39Z7wyqUT/x2cmKDQIpiDjg1b0shtO5hHggfeUYreDqLFickzw1DNfQk+bVvUyX3r2Oa48+x/42ZvXuPX/6fn5cJA3htVYNKctSxEQ6XZE1GYP5vFLXH5ai6mXTikoEFR6jEYdcqcRmUeB4wV6VFo0RjturxejUoESEMNBpsJqErf+mnf2l3nrWoKXfX7MGvUZzJYAIt1Wg0a5SKGgptO7GQgKBA2oNGp0WvVZTN0yMg/FiVlZBLUZjf8FFmf+bzZ+f8hvr29R+qqLjkV9cg9yX7rUDvfILb/N7ypKtH90/AlKLYJ1ikuXx5ky6Xi8SjXLPI6coF4EQIPdbsaoLVE5PKTa7tAWQXUms1OXRilLNrrKWkOB+o/7R0FlQOGyEpoIMHoWw5CReUhOfBLrtDp0ul0ElRqlcFcU9NRRYvJOMP78t3hjXo3hjznHgkIFeh9hvx3DWQ1FRuYhODlRim3oHJLOFik3VDiH3ejVKs4u4KnE4AhiufAiL7yoxaKVN48yjyYnoxmxS7dVplVYYXUry2HDyvSFCcxaDY9XDywZmdPn4WdKsU39aI/E2ge8/dO/5T9EXdieeoHvPGfHolfIwU4ZmQfkWKLsZG6zu/vv+Mv/4feo6dJtVqmWS+SOvISfe5mnnn+GBbca3ZlOky0Otz9k7d//j/zlRyq0vWem1KKwz/Hs87PMT3ixyHcJmT7nAUQpgKDE4J0g7Kmxnt/hvd9G7qRNaa2YPCOMXXqNr75yiQujHpxnJkgVCGY8o5P4MhtkIu/wbuyu40i1CaVfi2c8xPi4LEqZ/kcQ786x+lzuHNC32h1aHfhPmVECgkKBQqlCpVKiVAhnuGwVgS6tRpN2u0uHT/oDBFCoUKtVqFXyclqm/3lAUcrIyJw2skVbRqbPkEUpI9NnyKKUkekzZFHKyPQZsihlZPoMWZQyMn2GLEoZmT5DFqWMTJ8hi1JGps+QRSkj02fIopSR6TP+I85Gm7GfFrf3AAAAAElFTkSuQmCC)
maths-General
maths-
Two Rectangles ABCD and DBEF are as shown in the figure. The area of Rectangle DBEF is
![](data:image/png;base64,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)
Two Rectangles ABCD and DBEF are as shown in the figure. The area of Rectangle DBEF is
![](data:image/png;base64,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)
maths-General
maths-
In the given figure, ABCD is a Cyclic
and
then ![A B C equals](data:image/png;base64,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)
![](data:image/png;base64,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)
In the given figure, ABCD is a Cyclic
and
then ![A B C equals](data:image/png;base64,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)
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAUQAAADQCAYAAAB/ahgnAAAgAElEQVR4nOy9eVCc953n/3r6pC/obqDpBhqaS+I+BBKSQLIk6zDYsuPY8diZbI5JMruZqczs5rfZmana2l9qa2bzm9mpmkrN5WRq1+PYcRxHtpxYtmXdtxCSAAFC3PdNc3XTTd/P7w8ZYsWSLCSwQH5eVV2oitbz/T5P0e/+fL6fSxBFUURCQkJCAtnD3oCEhITEakESRAkJCYmPkQRRQkJC4mMkQZSQkJD4GEkQJSQkJD5GEkQJCQmJj1E87A1ILJGgB793ltFxN0FlDJpoI1ZTFHLhYW9MQmLtIwniGkN09zLRco5fvFWHM34rGRu38609DqLkgmTuS0g8IJIgrikiuAba6Lp4hPPNw4zJ5EwGY6jYnkK6Rk60ZCVKSDwQklGxZohAxMVYfy9tzd3MxZgIzI4y3dZE/WiQaZ9UcCQh8aBIgrhWEMMQ6mdgYITWQTVZVc9QlqkhfqaVC81enLPhh71DCYk1jySIa4VwgFB/A/0jPrpkGygoLGNraTzJcbM0XGxizDlL8GHvUUJijSMJ4ppAJBz0MXGjieHZMB5bCbmJKZTmJZNqUzF19TIDY5NMhB72PiUk1jaSIK4JgoQCs3Q2tDI6L6LIXEeiXEFqog2rxYjqRg09wxP0eKRzRAmJB0ESxLVAeIrg3HUamp1MjLmIiozSePkil7qcdLuDxPmv0dM5SluP72HvVEJiTSOl3awBwrNjeLrqaHYKOEUPxqkbNNfLUMtczI55iTZ5GOzppbNjCE9RJlECyB/2piUk1iCShbjqieCbGGW8sYE+mQ2FOYH06BCEAwSCUah1ceQUWQhO9DPY3slIEAKRh71nCYm1iWQhrnp8OEeHaazrRlz/J+zYsZVv70pCDghAxNVFuMuA9ydjOHvauDKzF4NRhkb1sPctIbH2kCzEVY4438Po8DD1bRoSM7PIyHYQbzYTazZjNpuJs6UQn19JTsI8Ok83lxpmcM1JCTgSEveDZCGudiIhlIYETOsfY32Rgyybnlsq9FTRyOKKKCq/BmNRTIbCKKRgs4TEfSFIQ6ZWOxEi4QjhsIigUCATBGSfqlkWiYRCREQBUSZHIRMQpLpmCYklIwni50w4HMbn8zE7O8vMzAyzs7O4XC7m5+eZn5/H5/Ph8/kIBoNEIhGioqJueel0OqKjozEajcTExBAdHY1Go0GQFFBC4oGRXOYVQhRFAoEAMzMzTE1NMTU1xfT0NC6XC4/Hg9/vx+/3EwgECAaDn/oZDocRRRGlUolSqUSlUi3+W6lUolAoiIqKQqPRoNPpiImJwfzxuaLZbMZgMKBWqx/2Y5CQWFNIFuIyIooioVCIUChEIBBgamqKtrY2mpubaWpqorW1leHhYbxeL3FxcVgsFiwWC3Fxceh0OlQq1eJLobj5XRUMBheF0u/3MzMzw8jICF1dXbjdbkKhECqVioyMDHJycigoKKCgoACHw0FcXBwKhQKFQoFcLpesSAmJz0ASxGUiFAoxNzdHY2MjDQ0NNDY20tvbi1qtJj4+nqSkJJKTk7FYLJjNZtRqNWq1etHyk8vlyGQyBEFY/AkQiUQQRXHxZ2dnJ2fOnOHnP/8527ZtY+fOnZhMJkZHRxkaGmJwcJDx8XHUajV2u52SkhJKSkrIzMzEaDRKoighcRckl/kBCAaDuN1u2tvb6erqoq+vD6fTidfrRRAEsrOzSUhIIDk5Gbvdjt1ux2KxEB0dfYvo3QuhUIi+vj6GhoZobW3F4/GgVCpJSkqivLycsbExBgcH6e/vZ2BggOnpaXw+H/X19XR0dBAfH09qairr1q3DbrcTFxe3gk9GQmJtIgniEhFFkXA4jMfjYWJigu7ubk6ePEldXR19fX2kpqZSXFzM1q1bKS0tJT4+/oHP8vx+P5OTk5w5c4YPPviACxcuIJfLGR4epquri7179xIfH09+fj6iKBIMBunt7aW+vp7z589z+fJlpqamSE5OpqKigk2bNpGXl0d0dDRRUVGL7rmExBcdyWVeIqFQiOnpaU6ePMnRo0e5cOECGRkZFBcXs2nTJhwOB2azGZ1Oh1arRaFQPLCb2t7eztGjR3n77bcJBoPExcUtCnJ+fj7//M//jE6nQy6/WcG8ENCZn5/H4/EwNjZGV1cXly9f5urVqwQCAQoKCnjmmWcoLi4mISFhOR6NhMSaRxLEeyQSidDf38+1a9e4dOkSExMTAJjNZvLy8li/fj0ZGRnExMSgVCqXZU1RFGloaOD06dOcOXMGu92O2+3G7Xazbt06GhoaUCqV/OAHPyAvL4/Y2NjbXsfn8zE1NUVPTw/Xr1+nq6uL0dFRlEolaWlplJaWUlpaislkkqxFiS800l//ZxAKhZifn2dwcJDLly9z4cIFWlpayMjIYMuWLezZs4eEhAS0Wu2yrrtg2R0/fpy6ujpEUaSqqoorV65w9uxZSkpKAOjp6eH06dPEx8ffURCjoqJITEwkMTGR4uJiOjo6OHXqFGfPnmVkZISRkRHm5+fJzc0lMTERvV4vBV8kvpBIgvgZzM3N0dHRwU9/+lNaW1uJiYnh+9//PiUlJSQmJqJWq5HJlrckXBRF+vr6eO2117hw4QLZ2dn81//6X7FYLFy4cIHJyUmysrKIjo5GEAQ++ugjtm7dSnZ29mcKmVarJS8vj8zMTJ588kmOHTvGO++8w8WLF9m3bx/PP/88+fn5qFRSdwiJLx6SIN4BURRpamri7NmznD17FpVKxRNPPEFpaSkFBQXExsai0WiWfU1RFDl37hwnTpygtraWxx57jO3bt5Oamkpvby+BQIDk5GSMRiNxcXGMjY3x5ptv0tPTw9jYGFar9a5rCIKwmNydnJzM7t27sVqtXL58mYGBAf7pn/6JyspKKisryczMXHaxl5BYzUiC+HtEIhFmZmYWo8fNzc3Mz8+zZcsWtm3bRmFh4YokOYuiiNvtpq2tjePHj9Pa2kp6ejp79uyhpKQEmUxGZ2cnoVCIzMxMtFotJpMJh8NBfHw8fX19dHZ2fqYgfhKNRkNWVhbJyclYrdZF9/zYsWMEAgG8Xi/Z2dmoVCpJGCW+EMh/9KMf/ehhb2I1EQgEaG5u5l/+5V84duwYVquVH/7wh+zdu5fU1NQl5w/eK6FQiK6uLn7yk5/Q0NCAw+Hgf/7P/0lGRgZarZb5+Xnef/995ufnycnJobCwEK1WSyAQwOVyMTQ0hEwmY9OmTUteW6lUYrfbKSgoIDk5mSNHjnDlyhWcTicbNmy4pXJGQuJRRhLEjwmFQszMzHDgwAEOHjzI+Pg4X/7yl/nSl75EdnY2Wq12RaykhRSZY8eO8atf/Yq+vj727dvHl7/8ZVJTU1EqlQiCwNzcHK+//jo6nY7HHnuM5ORklEolMpmMmJgYzp49i9frZcuWLYulektFoVAQExNDfn4+MpmMnp4ePvroI3Q6HUajEb1ev+z3LyGxmpC+9rlpFY6MjHDixAkuXbpEKBRi165d7N69m6ysLKKiolZk3XA4jMvloqamhlOnTjEyMsLWrVvZsWMHBQUFi4GNhcTs8fFxUlJSSEtLW0zt0ev15ObmEhsbi8vl4tq1axQXF2MymZa8H6VSSXx8PCaTCUEQUKvVnD9/nhMnTjA/P8+uXbswGo3LllYkIbHa+MILYiQSwel0cuXKFX72s5+RlpbGvn37+MM//EMI+wkG/UxPz9/mf8qQKZSotBpUMgH5Er3oSCSCy+Wira2Nn//857jdboqKivhP/+k/ERsbe4uL6nK56O/vJxQKYTQasdlsi267UqnEbDaTm5tLY2Mjx48fJyUl5b4EEX4XdKmoqCAlJQWbzcYbb7zB+Pg4ZrOZkpISTCbTfVmgEhKrnS+0IIbDYWZmZvjNb37D4cOHyczM5Etf+hLbtlUilwtMNBzhakMzp9rdfCp7XTAS68ih5OknKYpVkhB174ooiiJzc3OcOHGCN998k1AoRFVVFVVVVbcVm8nJSW7cuEFycjKJiYm3PcMsLS1dzFt86qmncDgcDyRagiCQkJBAdXU1giBw5swZ/vZv/5Y/+7M/o7y8XKpukXgk+cIKYjAYZGJigkOHDlFfX4/RaOSpp55i48aNWCzxQATPYBMdLS2c7TKzKTsOs175u/b9Mj16bRRq+dKsw2AwiMvl4vDhw9TU1CCKInv27GH79u04HI7bnlM6nU5u3LiB3W4nMTHxttfNzMwkJSUFt9tNV1cXdrudpKSkJT+XT6JWq7FYLFRWVi7Wb3/44Yd4vV4ef/xxzGazZClKPFJ8IQVRFEWcTid1dXX85je/ITY2lt27d1NdXY1OpwMiQITAzAhTs/MMyzLILc1lfaLhd/OOBTWa6FjiDQp0intTxGAwyNjYGM3Nzbz33nuEQiEqKyt59tlnsVqtt7X8Fvba3t7Oc889d0dBtFgspKWlYbPZFsXzQQVxgYyMDORyOSqVildffRVRFDGbzZSXl2MwGKSUHIlHhi+kIAaDQWpqanjllVeIjo6mqqqK6urq2ydaq/SoYh2syyuiJN3E78IJAoJMjkIpIL9HPZiamuLUqVP85Cc/Yd26dVRXV7N//34MBsMdU3kCgcBiVx273Y7NZrvt+wRBICkpiZ07d1JfX4/dbmf79u33trF7ICkpib179+Lz+Th16hT/+q//SkJCAllZWctetigh8bD4wgliKBTi+PHjnDt3jnA4THV1NeXl5cTExNz+PwTmCE730dkajdJ9q4UYZTASl5pCbJQczV08R7/fj9Pp5ODBg9TX17N+/frFdT8r+DE8PMzMzAwmk4n4+PiPLdjbY7Vaqays5Ny5c3R3dzM0NITFYlmWqPBC8GbHjh3Mzc1x9uxZ3njjDZ5++mk2bdokRZ4lHgm+UII4NzfH4OAgR48eZXR0lI0bNy7m9N0J0e/CN9HG9Xofs/2a3w2yFgwYE9PIjktGq5ShucNB4vz8PAMDA5w/f56LFy8ik8nYv38/27dvv6O190l6enpwuVz31EnHaDSSnZ2N2WxmamqKpqYmKioqlk2sFAoFmZmZVFRU4HK5OHXqFHFxccTGxrJu3TrJdZZY83yhBHFgYIADBw5QV1fH5s2b+dM//VOMRuNdP8iRoIfA9AC9XT7mxtWfCKqYiA9qMftEHOE7rzk6OsqpU6f48Y9/zOOPP86XvvQlnnjiiXsORnR3d+P1eikoKLirdQggl8sxGAxs2rSJlpYWTp06RXFxMQaD4Z7WuldKSkrQ6/W0trZy7tw5AoEAP/zhD6WGEBJrni+MIA4PD1NbW8uhQ4fYt28fu3fvJiYm5jNL0uSGRAzrH2P/HxSRmxz9iQemQq2PwRynwKj6tHXo8/no7u7m3Xff5erVqzz99NPs3buX0tLSJZXBdXV14fF42LZt2z2d1SmVSjZv3rzYrmxsbAyTybSsE/jkcjmJiYl897vf5a233uLatWscPXqUsrIyKR1HYk3zyAviwiS8K1euUFdXh1arZfPmzRQWFt6TRSOoDKjjMskuKKY0w8y9OJ8ul4uenh4+/PBDWltbiY2NZf/+/RQWFmKxWO5p36FQCJ/Px9DQEFFRUeTk5NyTIMrlcrKysrBarXi9Xtrb24mLi1u2iDPcDOAYDAbKy8vp7Ozk1KlTHDx4kOjo6MU50RISa5FH/tAnFAoxOzvLRx99RHt7Oy+++CIFBQUYjcYVW6+np4cjR47w2muvERMTw7e+9S0ee+yxexZDuGlhLgRU1Go16enp91RCKAgCJpOJjIwMUlNTuXz5Mj09PQ9yS7dFJpOh1WrZuXMnmzZt4r333qOurm6xk7iExFrkkRfE0dFRfv7znzM+Pk52djbV1dXEx8evyFrBYJBLly7xq1/9isOHD/Piiy/ywgsvkJubu+RuMbOzs9TX12MymbDb7UuezZKens6mTZuoq6ujq6uLcPguB50PQFJSEmVlZTz++ONcvnyZDz/8kHA4jDSZQmIt8ki7zDMzM9y4cYPDhw+TlZXFtm3bSE5OXpKwhF2DuPo+4ODrbVyN134i7UZPjNVBVuVWsmIURNyTtLa28t577zEyMkJxcTF79uxh/fr1d07puQuzs7PU1dVhNptJSUlZcsuxpKQkCgsLeeeddxZHk9rt9mWvLNFoNGRmZvLcc8/x1ltvUVdXx7Vr18jKylr2YI6ExErzSAtiX18fV69epbu7m+eff57t27cvQVgEVNHxGKOuY5q6yLF3a7klGC23Yi/azr7sTSgDc8x2NHHo0CGuXLlCeXk53/zmN0lPT7+vYIYoiszOztLQ0MD27dtJSUlZ8jVMJhOZmZnYbDbGxsZobGwkMTFxRUrt4uPjefLJJ6mtraWtrY0PPviAr371q+h0OikVR2JN8UgKoiiKRCIRampqqKmp4YknnqCwsHAJ54YyQCBp1/f4Wtl/oMoTRib7fSFVoNToMcSrOHTgbY5++D6NjY1897vfZefOnaSlpd13GkokEmF6eprGxkaee+65+xJEQRDQ6/Xs2LGDhoYGLly4wOOPP74iqTEymQyVSsWePXvw+/28/fbbbNmyBavVKlWxSKwpHklB9Pl8tLa2cv36dUKhENXV1aSlpS3xHE9AZbRhMcLtQiGiKDI+Ps7Fo4c4c+IYDQ0NTE9P4/P5kMlkD9RDcXJykomJCQRBID4+HrPZfF/X0el0bNmyhdbWVtrb2xkcHMRut6+ISMlkMvLy8ujp6eHcuXPU1tZiMpnYsGHDsq8lIbFSPHL+jCiKuFwuTpw4wfj4OA6Hg/LycuLi4pZ1jfHxcerq6nj77beZnJzEZrORlZVFV1cXTU1NjI6OEgwG7+v6w8PDjI+Pk5SURGxs7H0LmFqtJicnB4vFgsfjoampienp6fu61r1gtVrJz8+nuLiY+vp66urq8Pl8UoBFYs3wyAliKBTC6XTy29/+Fr1eT3V1NXq9ftnOzkRRJBwOc+LECV599VUaGxv50pe+xP/+3/+bv/qrv6Kvr4+33nqL999/H7fbfV9r9Pf3Mzk5yYYNG+4rILPAgqWanZ2Nw+Hg+PHjDA4O3vf1PgtBEMjKyuKll15ieHiY+vr6B/pikJD4vHnkBHHhg+j3+8nMzKSkpGTZannD4TCjo6O8+uqrHD9+HKVSyZ/92Z9RWVlJVlYWJSUlfP3rXycpKYkPPviAAwcO0NrauuR1+vv7Fwc8PWi+pCAI5OTkkJ2dTW1tLX19fczP364D+PIQHR3N+vXrycnJwev1cu7cOTwez4qtJyGxnDxygtjX18eVK1cWXVibzbYskc5wOExfXx9nzpzhyJEjBINBNm3axDPPPENaWhoGgwGLxcLevXvZunUrarWa06dPc/bsWTo6OgiFQp+5RiQSwe/3Mzg4uDhSIDo6+oH3brfbWbduHV6vl/7+foaHhx/4mndCpVIRFxfHxo0bUSgUnDlzhtnZWSKRyIqtKSGxXDxSgiiKIl1dXVy+fJmysjIyMjKWZWSoKIr4fD5OnDjByy+/zPj4OPv27ePb3/42ZrN50QKVyWTEx8fz1FNP8Sd/8ieMjIzwzjvv8O677+L1ej9TFBaGTo2NjeH3+8nPz/84l0/8eIh9hEjk49fHQ+3v5XQuJiaGlJQUcnNzGRwcpLGx8YGfyd1QKBRs3boVvV5PTU0NTqeTQCCwomtKSCwHj0yUORwO09PTQ3d3N4FAgI0bN2K32x/4uoFAAKfTyWuvvUZTUxMpKSk899xzlJSU3DHHUKvVsn79ev7bf/tvHD58mPPnzxMMBtm/fz95eXl3tFi9Xi/Nzc2oVCpSU1OJiopCHpllor2N1iu11HUMMzzjxytGoTUnk15YRn5BDmXpMagEgbtJf2xsLPv27ePs2bPU1dXx9NNPr9iMablcTkpKChkZGdTW1lJbW4vBYGD9+vXLvpaExHLyyAhiKBTi+vXrTE1NYbfbcTgcDxSQgJuNXdvb2zl37txi1UhlZSWVlZV3bRumUCiIjY2loqKC+fn5xZxIjUZDMBikqKjotmLk9XppamoiKiqKtDQ7CpmHwbpTXL3SxLmmcQIqNYJcgUoIEHC20nxumpHBEVy7d1GSrCdBr7ijKMbExLB161YuXLhAf38/fX19K5YnKAgC0dHRpKenk5mZSUNDA1lZWZIgSqx6HhmXORQK0dDQQCAQYPPmzZhMpiXXDy+wEEkeGRnh1KlTvPLKK6hUKvbt28cf/MEfYDKZPvNcUiaTYTAYeOKJJ3jxxReRy+UcPXqU3/72t0xMTOD3+z+VjrKQGqPVaklPtSLOd3H10K84dOg8xyaTsG//Cs//0R/zve88zwuVFgyD56l55w1+erSH1lEvwbv4z1qtlpycHGw2Gx6Ph5qaGmZnZ+/r+dwraWlplJWV0draysDAgHSOKLHqeSQEURRFgsHgYkS3rKzsgVpQ+f1+RkZG+NnPfsaJEycoKSnh29/+NpWVlcjl8iW5mWq1mtzcXP77f//v5ObmUl9fz//6X/+L1tbWWwItoiguCqJOp8MRG4Xn8q852SLDlfgY3/jBf6C6Mp/C9BSSHQXk7/omLz2/jepckZYDv6Wxe5CBu8RtBEFAJpNRXFyMzWbjgw8+WPHONDabjby8PKanpxkZGWF6eloSRYlVzSMhiF6vl+HhYaanpxfPqu63Iarb7aaxsZGf/exn9PX1kZGRwbPPPkthYSGxsbFLPnOTyWRER0eTn5/Pvn37KCwspKOjg/fee4+LFy/i9/uJRCLMzc0xPj6Oy+XCbDZi0qoYqLtIvxhHVEoBOwrspMZFE63VEKWNxhCXQmZxLjnZ8cT0XGZo0En/zN3FRhAECgoKSElJoaGhgf7+/vvOlbwX9Ho9NpsNq9WK2+2mt7dXEkSJVc0jcYY4OztLW1sbMpkMi8VyX6k2Cykv7e3tnDx5koMHD7Jnzx6eeOIJHn/88QcKPshkMtRqNTt27MBgMNws+bt4EZ/Ph9FoJC0tjfHxcYaGhtBqtcTFmVAp5PS1duE1PI49OYV1OoFbiwEFNInJxKfYSAucZWbCxch0BOLvft/p6ek4HA48Hg/d3d2sW7duxbrSKBQKYmJiyM3Nxe/309raSn5+/n0fZUhIrDSPhIXodDq5du0adrud1NTU+8o7XGj5/8orr3DkyBH279/PSy+9xNatW5ctEqtQKCgsLOQv//IvKSoqorGxkb/7u7+jo6ODnp4eBgYGyM7OJjbWTCgUZGbajVIdhVarQwGfDpgotSg1GkyaOYK+IB7vZyfhqNVq7HY7lZWVdHR0cP369WW5tzuh0WgoLi4mFAp96phAQmK18UgI4vT0NDdu3CA5Ofm+Um0mJyepra3ln//5n3G73Wzbto0vf/nLyz5zWBAENBoNycnJPPPMM1RUVOD1enn99dd5++236e3tJScnh7i4OARBQC6XL+Yd3p4IohghFJZ9fEZ4b3tITExkz549DA0N0dLSshgJXwmioqIoKCgAbs6HCQaDUm2zxKplzQtiJBJhZmaGzs5ObDbbPY32XCAcDjM9PU19fT3Hjh3j+vXrZGRkUF1dTVlZ2YqMGRAEAaVSyaZNm9i9ezdFRUVcv36dixcv0t/fj8PhwGg0o1SpMcXGgM+L1+3GI8Lv97wW5+fwz3mYCkWj0qrQa+/Nko2NjaW8vJxIJMLg4CD9/f0rljitUqkWW6E5nU5mZmak2maJVcuaP8wJhUJMT08zMDBAQkLCkqa+BQIBmpqa+MUvfkFDQwPf/va32b17N1lZWSu445ssRHwTExMRRZH33nuP0dHRj7vb6NGF9aRnpiA/6WRydJjBMGTIQfEJzQtPjOIaHKc7bCczzkBC3L01sNBqtaSmppKZmcnU1BTnzp3DbDY/UMuyOyGXyzGbzYt5m/39/RgMBmJjY5d9LQmJB2XNW4ijo6PMzs4SHx+PyWS65w/18PAwx48f59/+7d8QRZFvfOMb7N69m+Tk5BXpKn07FAoFBoOB3NxcUlNTcbvdvPzyy5w+fQZXRI6lspo87TDBtgu8+UEHfVPz+EUg7CPiauXq2RpOXxkmtGkP61JtZOruzUIUBAGFQsGmTZvQ6XScPHmS2dnZFXNlBUEgISGBuLg4Ojs7cblcK7KOhMSDsuYtxKGhIdxuNw6HA4PB8JkRTFEUGR4epqamhhMnTizOPK6qqiIjI+OhREBFUSQhIYGUlBRmZmY4f/4ChPLZUV7EpoIuIh0j3PjoXT6cSiclXote9DLv7KTx8hh9pLDlqW3kOeKxLKGpj0wmo6ioiNbWVi5fvszAwAAWi2VZmkncjoSEBCwWC52dnVLTWIlVy5oXxOHhYTweD+vWrfvMAMhCas3Fixd59913uXbtGn/xF39x33NLloNAIEBraytarZa9e/ei1Wo5cuQInZ2dWBJ/SNneHeiN5xn/5b/x6ploUCswKENMjXkw5O1j475n+I8vFeHQyVnKcACZTEZmZiYpKSmEw2GuX7+OzWZbMUG0WCzExcVx7dq1Fa+QkZC4X9a8IE5OThIIBEhJSflMd3lgYIDTp08vNo/9y7/8SyoqKpY0L3m5WRDE5ORktmzZgsPhwGw2c/78ef7H//gffPs/PEdR6TP8P2XPMe6cxT0fxI8CpdaEOd5KgtVCslZG1H0cfshkMtLS0igvL6e+vp7U1FSys7OX/ya5OfTKbDYzNjaG1+tdkTUkJB6UNS+IC1FLq9V61wFKbW1tXLhwgcOHD2M0Gtm8eTM7d+4kPj5+2RrILhW/38/U1BSjo6OLzQ9sNhuiKCKTyXA6nVy40kJQ0LL78V2kZKgJRWT4IwrUBiM6tRy14v5zJAVBIDU1lc2bN/Pv//7vdHV14XK50Ov1yz4tLyYmhujoaCYmJla0Qa2ExIOw5oMqLpeLQCCAxWK5rSAutO86deoUH330Ef39/VRVVfHMM8+QmJj40MQQbpYJDg0NEQgEMBqN2Gw25HI5mZmZ7N27l2984xsMDQ3x4YeHuQ8YXlwAACAASURBVHDxErPzYfRGMzZrHGad4oHEcAGbzUZJSQmBQID+/n76+/tXZKi9Xq/HYDAwMzODz+eTSvgkViVr3kKcnZ0lEAjc1tITRZGhoSHefPNNLl68iMlk4m/+5m/Izc3FZDI9pB3/jvHxcdrb27Hb7Z8qN4yNjWXHjh0AHDlyhH/4h3/A7Xazc+dOMjMzl20PKpWK2NhYNm7ciNfr5fz58zgcjmX/otBoNOj1ekKhEF6vF5/PJ40olVh1rFlBXJi97HK5EEWR+Pj4WyzEcDhMQ0MDZ86c4cKFC2RmZlJRUcGGDRvQ6/Wrop52YmKC9vZ2UlNTsVqtt5QIKpVKjEYjGzduJBwOEw6HOX36NF6vl71795KRkbEsM5YX5jdXVFRw9OhRLl26xNNPP41Go1nW9CO5XE5UVBQxMTH4/X7cbrckiBKrjoevCr9HOOAlMDuOcy7EfHDBrRKQyZUo1Bp00Ub0GiUq+U132Ov1EhUVtdj/cKHd/8DAACdPnuTChQtoNBr27NnDtm3bVqyRwVIRRZGJiQk6OzvZv38/Vqv1tu9LSkpi+/btGI1GXn75ZS5duoRMJkOhUJCUlLQsoqJWqyktLaWmpmaxd6FOp1vWiPNChY7ZbCYYDOJ2u5eURC8h8XmwygQxgs/Zw8i5NzhwdYr2cR8iAoJMgdoQjzl5Pflbd7JxnQV7tMDc3ByiKKJSqVCr1QiCQCgUYnR0lH/913/lxo0b2Gw2/st/+S84HA70ev3DvsFFQqEQ4+Pj9PT04HA47iiI8LtSO7VazZtvvsmrr76K3++nqqqKvLy8B96LQqEgOTmZtLQ0bty4wcWLFzEYDMuegrOQiB4MBqVIs8SqZJUJokjIM427q5brg8nMaRKpzItDJoYJukaZ6T/Du439jD9bxeaKHOK9N8dbLrh2fr+f2tpaDh8+THd3N2VlZezcuZP09HQ0Gs2KzA+5HxbONmdmZoiJicFisdxVrGUyGVqtltzcXJ566ikMBgOnT58mEAgwNzdHWVnZA7m3C40k1q9fT3d3N2fPnl0cXbqcz0wQBFQqFcFgEJ/Pt2zXlZBYLladIEaC8/inh3CGcjDa8ti6fR2KcBDf2FU66s9z5tApmtZlY8zJQhO+aWXIZDK8Xi+NjY2cPHmShoYG1q1bx65du6ioqEClUq0aMYSbCeI9PT14PB5SU1MxGo2fGcSQyWSYzWbKy8vR6XSMjo7S0tJCJBJBo9HgcDge2KJLT08nPz+fY8eO0dvby+zs7LI2uJDJZCiVSkKhEH6/f9muKyGxXKwyQfwdgtZCnH09xaWlqAFZQI89wc+lX/0a0eNhYiaIR3bTQoxEIoyPj/Pyyy/T29tLbm4u3//+90lJSVkVwZPfRxRFOjs7F0eNLmXcgclkYuPGjdhsNv7hH/6Bd999l5mZGb7+9a9TUFDwQMJvt9vJy8tDFEV6e3vp6uqitLT0vq/3+yycIwaDQUkQJVYlq08tPkYMuHBPjdDX040yPI+rt4YbV1vos5azOSuN/ATw9d2cddzU1MTf/d3fMT8/z969e6muriYhIeFza9KwVCKRCJ2dnfh8PioqKpY8/0WlUmGz2fjqV79KcnIyhw8fRqlUMj4+/kDdvRes0F27djE1NcWVK1eWXRAll1liNbMKBfFmx5XwVDd9TXI+MvQiC8/j6m+mv7ufMaGMkFyBPBwiEAwsNmuYmZlhz549lJeXU1hYuGrFMBQK4fF4GBgYwGQykZ2dveS2WzKZDJ1OR1FREUqlkomJCfr6+jh+/DhqtZr8/HyMRuOShVEQBIxGIzt37uSdd96hsbERl8uFVqtdFkt7YdBVOByWOmdLrEpWoSACiISnOukdHOGDSQMCEcK+Ofz+MMj7GR0Zpas/AXvkpnwuRC2zsrJITU1dtWIINwM/Y2NjTE1NYbVaSU9Pv+8kaL1eT1FRESkpKfz93/89V69eZXx8nD/+4z+moKDgvgJJ0dHRVFRUcOjQIXp7e+nt7V2W80kJibXAKhREARBQOnawNWcrP3g+FyUgRHzMO3vpO/Ya77de4MMJHy9UJxMQZNjtdoqLi6mtrcVkMpGZmbmqgiifZGZmhsbGRsxmM8nJySiVygeqG17I7fvmN7/J8ePHOXjwIK+88grV1dVUVVWhUCiW9CzkcjnR0dHk5uYyPz/P+++/z/PPP78sgrgwLlapVK5IM1oJiQdlFQriTWTaOMyJGeTm598MqhAmMBlN4oiJU91TtPcNM6deRwCBpKQkqqqq+L//9/9y/fp1urq6SElJWZZKjuVmenqaxsZG4uPjSU5OfuAmCjKZDJVKRVZWFqFQCJ/PR319PSdPnkQURSorKzGZTPe8zkLz2Pz8fMbGxjh69CgVFRWkp6c/sOUdiUQWBfF+x8RKSKwka6e5Q0REEEGl1aGSCSjFCDKtljA3E5crKyuxWCwMDQ1x/vz5xaTt1caChWixWEhOTl6266rVavLy8vjWt75FTk4O/f39/PrXv6axsZHJycklN1PIzs7G4XDQ3NzMwMDAsnS5/qSFKAmixGpkzQhixD/F7GgbZ09fo9+vRJOWwfoYPRrh5gdNr9dTVVWFRqPh4MGDOJ3OFena8iBEIhGmpqZoamrCarXe14TAu6FQKDCbzXznO99h7969TE5O8o//+I+cPHmS+fn5JX1BJCQkkJGRgd1up6Ojg9bW1gfenyiKBAIByWWWWLWsQpdZBESCvWe4NNbN/9trRY4IoQAB3zyzk+kklW4le2MxaaZo1MLNoIpMJqO0tJSuri46OjqoqalBqVSSlpb2sG9okcnJSSYmJohEIlgsFsxm87Jef8HdtVqtbN++HblczrFjxzh58iRer5f9+/cTExNzTxFjhUKBzWZj165d9Pf309zczObNmx/obDYcDjM/P49CoZAEUWJVssoEUUChMxOdWU7BuIvWcSdt1ycBEQQ1Sl088eseZ8u2LWwqdpCgjhClVBKJRPD5fCQlJZGXl0dzczNnz55dPKd7mD0PP8nw8DBOpxOr1UpcXBw6nW5F1lkowzOZTHg8Hmprazl69Cgmk4mSkhJsNts9PZP4+Hj27t3Lyy+/TFtbGzMzM/c0t+ZOhEIhXC4XSqVyxe5dQuJBWGWCKEdvL2H9N/+Fv/maSFi8GXNeRJAhyOQoFAoUchkyQY5er19sAmuz2SgsLGR2dpYf//jHpKenU15ejslkWhVR597eXmZmZiguLl7xNBaZTIbFYuG73/0uRqOR3/zmN/z1X/81f/7nf051dfU9Wadms5mKigpeffVVhoeHaWlpoaCg4L72vuAuT0xMoFKpiImJuZ/bkpBYUVbdGaIgkyNXadFodeh1OnSffGk1aKNUqBQyZB/rW0xMDCqVivHxcYLBIHFxceTl5ZGXl8fg4CAnTpxYsSHsS6Wvr4/p6WmKi4s/lzZkMpkMjUbDY489xosvvkhWVhZHjx7l9ddfZ2Ji4jOfi0wmIyoqiuLiYnQ6HcePH7/vAVF+vx+Px0MoFEKj0Ui9ECVWJatOEJdKdHT0YrVGIBBAo9Fgt9vZtWsXPp+PM2fO3NOHfyVZiK4ODAwwNzdHUVHR55bovDA3ZWHUqkwm4/Lly/z2t7+lt7f3riV0C5UlpaWlxMbGcuHCBcbHx+/rWXo8Hubm5tBoNGg0mlWZEiUhseYF8ZMW4sIH1WAwsH//fvR6PXV1dbS3tz/U4eihUAi3283IyAiBQIC8vLzPtTejIAjYbDa+9rWv8eSTTyIIAj/+8Y85d+7cYpDnbhQXF2O1WmlpaaG/vx+3273kPbjdbubm5oiNjZUCKhKrllV2hrh0TCYTQ0NDDA0NLXZQWUg/KSsrY2Zmhl/+8pdotVri4uIeyh49Hg9NTU2oVCosFgs6ne6hlBcKgsC2bdvQarXodDoOHTrE2NgYL774IomJiXfMDdTr9aSlpZGfn09jYyNWq5UtW7Ysae3Z2Vmmp6eJj49fcjMLCYnPizVvIVosFtRqNV1dXYvjLQVBQK1WU1xcTElJCY2NjbS0tDA6OvpQ9jg3N0djYyM6nY7U1NQll9MtJwkJCZSWlvLMM89gtVppa2vjrbfeoq2t7Y6Wn1KpxOFwsHnzZlpaWmhrayMUCi0pr9HpdDI5OYndbl9VncslJD7JmhfExMREdDodHR0deL3eWz6k69evp7S0FFEUuX79Oi0tLQ+lemVubo5r165hMBhWRV5kQkICe/bs4dlnn0Wn0/HWW29x+vRpent78fv9t31GSUlJVFRUMDw8TFdXF263e0nVL2NjY4yPj5Oeni5FmCVWLY+EIBoMBvr7+5mdnSUYDC7+TqlUkpKSwosvvsjQ0BAnTpwgGAx+7jOB3W43jY2Nq0YQ4WYEuby8nBdeeIGqqioOHDiwaCnerjWX0Whk3bp1JCYmMjk5yZUrV5bU5HV8fJyJiQkyMzOlzjkSq5Y1L4jR0dEYjUbUajUTExNMT08v/k4QBGJjY9m9ezfR0dH09fVx6dKl+04duR/m5uZwOp1MT08TGxtLYmLi57b23RAEgejoaPLy8njiiSfYtGkTAwMD/PKXv6ShoeGW5wg3z2VjYmIoLS0lHA5z/vz5xSOKuxGJRJifn2diYgK32016erokiBKrljUviCqVCpPJhM1mY3R0lPHx8Vt+r9PpyM/PJycnh0gkwnvvvcfIyMjnVufsdDoZGRkhKiqKuLg4TCbT57LuvRIXF0dZWRkvvPACFouFy5cv89FHH3Hjxo1PRebVajVbtmxBo9FQV1fH5OTkZ6bghMNhJiYmmJ2dRRCExSMOCYnVyJoXRLjpzmVlZTE8PMzw8PAtv1vIpduxYwdZWVkcOHCA7u7uz62F/dDQEMPDw+Tm5hIbG/vA7b5WArVaTVFRES+99BJ79+7lF7/4BW+//TZNTU23vE+lUlFcXExCQgLj4+O0trYyNTV112v7fD5aW1sJh8MkJyej1WpXdQNfiS828h/96Ec/etibeFC8Xi8ul4vW1lbMZvNt54BoNBrm5uZobm5Gq9Wi1+uXvdvM7aipqaG5uZm0tDQ2bNiwKoezL4wh1Wq1GI1GNBoN/f39dHV1odFo0Ov1aLXaxeYRo6OjjI2NMTc3h9VqvWsbM5fLxZEjR3C5XKSnp7Nly5ZVU1suIfH7rD5z5T4wm80UFBQwNTXF0NAQXq/3U4ETo9FIdnY2jz32GG1tbVy9ehWPx7OiAZZwOMzQ0BCjo6Pk5+cve3eb5SYmJobc3Fy+8pWvkJGRwfDwMAcPHqS+vn7xKEIul5OZmUlhYSH19fX09PTc0W0WRRGv17uYg5mbm7sqpyBKSCzwyAhifn4+oVCI0dFRRkdHbxspdTgc/OEf/iHj4+NcvXqVoaGhFSvpW+gOvdDhJi8vb9ULIty0pNevX883vvENHnvsMd544w3eeustrl69uviezMxMNmzYQHt7O93d3czOzt42VScSiTA3N0dTUxNqtZrc3FzJXZZY1TwSgrjQxGDdunUIgsC1a9duGwGNiooiKSmJyspKAH71q18xOTm5InsKBAJ0dHQQCASwWq2YzeY1Vb+bkJDArl27+Ou//mvcbjfvvPMOv/71r3E6nWg0GpKSkiguLmZycpLLly/f1tJ2Op10dnaiUChISEjAarWuyjNUCYkFHom/zoV5v/n5+chkMi5duvSpJG24mTpiMBjYtm3bYrOC7u7uFalz9vv9i12mHQ7HmgsmaLVaMjIyeOqppygrKyMQCPDBBx9w9uxZRkZGMJvNbN26FZfLxZUrVwgGg5963oODgzQ3N2Oz2Rajy6uhDZuExJ14JAQRbopdUVERKpWK2tpapqenb5taI5fL2bJlC1lZWYyOjlJXV8fg4OCy78fn89HS0oJSqSQrK2tNieECCxb117/+dSoqKmhububAgQNcvHgRmUzG9u3bCYVCXLt2DZfLdcsxRSQSoaenh7q6OvLz80lJSXmIdyIhcW88UoKYm5uL3W7H4/Fw7do1RkZGbvveqKgo8vPzefzxxzl16hT19fXLnpfo9/sXBXHdunVrUhAXMBqN7Nmzh7/4i7/A5/Px3nvv8fbbb2OxWEhKSiIUCnHhwgWcTidwUwydTicdHR309vZSXl6+aip0JCTuxiMjiIIgEBMTg8PhICUlhcuXL9Pb23vb98pkMjIyMtixYwder5fW1lZaW1tvKft7EPx+P9PT0wwNDaHVaklLS1vTgqhSqRZrmZ944gl0Oh3nz5/n5MmTKBQK4uLiOHbs2GLzjFAoRFNTE6Ojo1itVtLT0zEajQ/5LiQkPptHRhDhd0JXWlrKtWvX6OjowOfz3TYCmpCQwIYNG0hNTWVoaIizZ88ueTLdnZibm2NkZASfz4fRaMRms635YIJKpSIhIYEXXniBrVu34vF4eOeddxbnrJw7d47BwUF8Ph8+n48LFy7gdrvZuHEj8fHx0thRiTXB2v6U3obU1FTKy8uZnJzkxo0bdHd33zYCumBRPvvsswiCwIcffojT6VwWK3FsbIyuri5SU1NJSEhY09bhJ5HJZBgMBqqqqvje976HXC6ntbWVhoYGRkdH6e7upre3l/HxcWpqaohEIuzcuVNq9yWxZngkKlU+yULi70L02OfzUVhYiFKp/FSEUyaTER0dTX9/P729vWg0Gsxm8wPnC16/fp2amhrMZjMbNmzA4XA80PVWE4IgEBUVtdhUw+Vy0d/fv2gpzs7O0tPTQ3t7O4WFhVRVVWEwGNa8hSzxxeCRE0SZTIZMJkMURdra2ujt7aW0tBStVvupkrEFi8ftdjM+Ps7169ex2+2kpKTcd0WFKIrU1tZy7tw5Nm7cSF5eHvHx8ctxa6sGmUyGVqslMzMTv9/PxMQETqcTl8tFb28vPd3dJCVEk5+9DktcAhOTk4xPOHFOTjE542bOHyEkylCqFMiE35usKCHxEHkk66gMBgN79+6lvr6e06dPc+LECfbu3UtGRsZt379hwwZcLhd/9Vd/xYYNGygqKrrvNl3hcJixsTF6e3vJyMhYlbXLy4FMJkOlUvHkk09iNpsZHBzkxo0bTE9PE63X8twPX0Dl6uXl/+/HTIkQlilQqHVoYqykZJeSX5TPlg0pRMtAKSmixCrhkRTEBcuvrKyMsbEx3n33Xex2O0lJSbcdcGQymVi/fj1btmyht7eXU6dO8dWvfnXJ6y7ULs/MzKDX67FarY/c+ZkoiosR9K6uLjo6OmhsbKSnp4f5+XmMRiPrMx1kJCjo7XZxo2Oe1Cc2kmiMIjo0j889xfjlA/zmykkOHdvGs89spiTTgmXtFPFIPMI8koK40JWloKCA0dFRLl26RH19PSkpKRQWFn7q/Wq1muTkZKqqqjh27Bg1NTXs2rULk8m0pOjoQjKy1+slOTkZo9G4psr1fh9RFIlEIszOzjI1NcXU1BSTk5OL4wAmJyeZmprC7XaTkJBAKBTCbrfz5JNPkGLz03VjjBmPjk0FpRTZjdiCLjyTg3Rdr6O5tY+GY05OWk0o1Bp2ZBiQIbnPEg+XR1IQF8jKysLj8XDo0CEuX76MXq8nLy8PmUz2qQCLyWRi//791NTU0NbWRl1dHaWlpUtyecPhMO3t7YRCIXJzc9dkqsmCCC7Mkl5IMG9oaODKlSvU1dXhcrkwGo1s3LiRsrIyTCYT7e3tHD16lJycHL77ne+gHX0HhGmUGiPWdXlkZyey/uMj3J37dtJ2+l3e/tsfc/RUPkptPJszstEgCaLEw+WRFkRBEEhJSeH73/8+//7v/05NTc1ioOP3O1fL5XL0ej2VlZWEQiH+z//5P8TGxhIfH3/PEdJwOExHRwfBYJDc3Nw1N3/Y7/czOTlJe3s7ra2ttLW10dHRgVKpxGg0kpiYSGlpKYmJiSQkJGA0GgmHw9TX13PgwAEqKytvRpWjo2HiLn9aynhsKdlUVRVz6WQfo92dtAWzyVaAVlJEiYfIIy+IMTExbN68mcbGRhoaGvj1r3+NTqdDp9Pd4s4uuNkbNmxgYmKCn/70p1y/fp2kpKS7NkBdIBwO4/F46O3tJTExkezs7FVvIXo8nkUXeGxsjJGREZxOJ263m/n5efx+PzabbbEJrMPhIDU1FavVSkxMDKIocurUKW7cuEFUVBSbNm2ipKQElVJJUHYXZZNp0JniSMtLw/DhNPPOCYb9IukyAe2jkbIpsUZ5pAURbk7ei42NZc+ePczPz/OLX/yCDRs2YLFYSExM/JTrnJmZyejoKDExMYtD2RMTEz/TSvT5fIvpJ2lpaaSlpa2q88NIJEIoFMLv9y++RkZG6OrqoqWlhZaWFvr6+vD5fGRlZVFUVERxcTHFxcW3HS4fDAaZmZnhzJkzNDY2UlVVxcaNG29G50OfPXxKplKhNBnRipN4ffO4AiLhKMk8lHi4PPKCuEBOTg5TU1M0Nzfz4YcfEg6H+drXvvaphG2ZTIbD4eCP/uiPeO+99zh//jzbt29Ho9HcteJkenqalpaWxcl6UVFRqyYZeaFzdV9fH83NzTQ1NdHc3MzExARarRaHw8GGDRv4yle+QkpKCrGxseh0OrRaLVqt9rY5mZOTk7zxxhuLVvRXv/pVkpKS7n1PoRCRuTl8ogJRpUarknE3o1JC4vPgCyOIOp2OvLw8XnrpJQ4ePMiVK1ewWCxUVlbe0nhAEATi4uJ47LHHuHjxIiMjI5w7d47y8vK7Tsybmpri+vXrWK1WkpKSHqoYhsNhpqenGRkZYXBwkMHBQUZGRpiamkIURQRBID09fdH6S05OJikpCZvNRlxcHCqV6q59CwcHB7l06RKnT58mNTWVHTt2kJKSsgSLOIRndoq+5g5mtBlY4i2kqkC9Or4/JL7AfGEEEcBms/Hkk0/S09NDfX09Bw8eJCEhgZycnFvyBXU6HZmZmZSUlFBXV8ehQ4dwOBwYDIY7VrAsCGJJScmSLKUHRRTFxfNLj8fD3Nwcs7OzDA8P36wa6emhr6+PqakpNBoN2dnZ5OXlkZ+fT2ZmJiaT6Z6rckRRxOPx0NDQwPHjx/H7/WzatIndu3d/pojevECYSMiPd3aE3vYOzteOELY9TmJ6KqlKUEkWosRD5gsliDKZjKioKF566SXkcjm//OUvef/99xEEgbKyslveKwgCu3fvXnQNq6qqSEhIuK2VKIoik5OTXL9+nerq6s9VEEOhEHNzc1y7do36+nrq6+tpbm4mGAxisVjIy8ujurqa7Oxs0tPT0Wg0qFQqlEolCoViSY0ngsEgN27c4MiRI9TV1fGDH/yAzZs3o9fr76ETtkgk5CU428+Nk29z5KPL/OpyPJU/KGPzpiyMwiPYaURizfGFEkS4KYoJCQls27YNr9fLlStXkMvlyGQy8vPzb3H7kpOTyc3NJSMjg/PnzxMdHc22bds+dc3JycnFTjkLbudK4fF4cDqd9PT00NvbS19fHwMDAwiCgFqtxmazkZWVRXx8PAkJCVgsFiwWC3FxccTExNy3Kz8zM0NnZyevvfYaLpeLp59+mtLSUiwWyx2vKYbGmR3s4zd/P0etSYeRMOFQiFAojGAoZs9/3MDuivUUJqglMZRYFXzhBBFu9vbLyclBoVDQ19dHe3s7CoUCjUaD3W5fdJ/1ej05OTls376dixcvYrPZKCgoIDo6+hYRGB4eZmpqivj4eOLi4tBqtcuyzwUX1eVyMTMzw8zMDOPj44yOjjIyMrJYLTI3N0dKSgoOh4P169ezbt06bDYb0dHRy7IPt9tNS0sLx48fp7u7m9LSUp566imSk5Nvn1okkyPTp5KSncOmchH3/Cwe3yzzghxRoSfWvp7Mwg1srNxCXrwKU5QkhxKrgy+kIMLNBhB5eXn85//8n3n55Zd58803USgUPPXUU+Tk5Cy+LyMjg6effpoPPviApqYmOjs7yc/PvyXpeqHVWEFBAQaDYVkGKYmiiCiKDA4Ocu3aNWpra6mtraW3t5dwOExxcTEbN27kySefpLS0FKPRiFqtXlx7OYc59fb2cujQIV5//XW+973vUV1dTUFBwZ3XkKmQp1Sx9ztPsPvbn264KwgCCAKCIEiVKRKrii+sIMLNHMXU1FSee+45YmNjOXz4MMFgEK/XS2lpKXDTmrRYLOzbt4/Ozk4OHjxISkrKLeLT09ODy+WiqKjovps5hMNh3G43vb29dHR00N7eTkdHB3Nzc6hUKuLi4tizZw9WqxWr1UpsbCxmsxmTyYTJZEKpVC57ZNvlctHT08Mrr7zC2NgY/397dxPbdp3ncfwdP8UPcezYjslDkzRPTUiySSC0SCyCEu0WkArLBWm1SBwWIY5729Peuc4NaSROexqEkFqgEpkpsLDJwGyrtE5riMN00xTHjp26jl3HsWP7v4f+7W0hM4RpKX34vCQrVRU1llK99ffv//99f2+88QbHjh2jv79/H8FtosnShJ6zlvvJQx3E+lSc6elpbDYb6+vrrKysNB5iHh4epq2tDa/Xy3PPPUcmk+H8+fPEYrHGdrZKpcLly5fZ3t5mcnISj8ezr59dLpfJ5XJsbm6STqdJpVKkUinS6TS5XI58Pk+5XKa9vZ3Ozk4GBgYYGBigr6+PcDiMzWb7RY/0TCaTLC0t8dlnn5FMJhkaGuKll17i0KFDD9wEH5G6hzqIdW1tbczMzNDW1sY777zD3NwcyWSS1157jcnJSVwuF4cPHyYSibC4uMiXX36J1+vF4/FQKBRIJBI4HA7Gxsb2DGJ9YEKlUmm8rl27xqVLl4hEIkQiES5evEgqlSIcDjM1NcXMzAwzMzMMDg7i9/vv2nnG1WqVUqnE4uIiH3/8MSdOnOCtt97i+PHjTE9P35X3IPJrURBNzc3N9Pf38+abbzI/P8/Jkyd59913OXr0KK+88gpOp5PHHnuMZDLJ3Nwcvb29hMNhvvvuO+x2O52dnX/xOcVyuczm5ibffPNNY5tcfS0wFArR29vL66+/Tm9vLk2rpQAACG9JREFUb2OfcEtLC16vF5fLdddiWKvVSCaTnDx5kvn5eQDefvttHn/8cZ2rLA8FBdFktVrxeDyMjo7icDgwDINoNMrXX39NPp9v7FQ5cuQIn3/+OcvLy7jdbq5cuYLX66Wnpwe73Y5hGOTzeTY3N0kkEqyvrzfuCu/s7LC7u4vVamVkZIRAIMCBAwcaxxZ0dHT86A723VCtVsnlckSjUc6ePcvi4iLt7e1MTk4yOztLIBC47yb3iPwtFMQfcDqdjI6OMjw8zPvvv8+nn37Ke++9Ry6X48knnyQUCjEyMsLa2hqJRIJyuUwoFMLv97O+vs729jaJRKJx0NLKygrff/8929vbDA8PMzExwdTUFBMTE3R2dt6xR3T+FoZhUCwWyWQyLC8vc/r0aSKRCOFwmBdeeIGnn35632uiIg+CJuNOHET8ADIMg1wux/LyMvPz83z44Yd4PB6mpqYYHR3lo48+YmFhAbfbzTPPPEN3dzeFQoFIJMLVq1ex2WwMDw83ngs8dOgQPp8Pt9uN0+nE6XRis9l+1T3P5XKZc+fOcerUKebm5uju7ubZZ5/l+eefp6OjA4/Hc88MqBC5GxTEn7C1tcXa2hrz8/MsLS0Rj8fxeDysrq6ytrbG9evXGR8f5+DBgwSDQRwOB36/n3A4TGdnJ52dnY0dI792AOHGOmEmkyEWi3H27Fmi0SgbGxv09PTwxBNPMDMzw9DQ0D01ukzkbtFH5p/g8/kYHx/nwIEDdHR0cOrUKaLRKDs7O7hcLjKZDLlcDqvVytjYGBMTEwwMDPDII4/86vGrqx8HsLW1RTKZJBaLcebMGSKRCNVqlcHBQV599VXGxsZu+0xqkfuZrhD3yTAMyuUy6XSahYUFTpw4wcLCAtlslpdffpnjx48zOztLS0vLL/KQ9O2oVqukUim++uorPvjgAxYXF9nZ2eHFF1/k2LFjPPXUU3i93h/NhhR52CiIP1O5XCaVSrG6ukosFiMajZJIJNjd3cXn8zE5OcnU1BSPPvrozxqtdaeVSiUymQxLS0ucP3+e5eVl0uk0fr+f3t5exsfHGRgYoKenpzGgQTGUh52C+FcZVHfyFLc2iK9vkskV2S5XqVns2JvdlGtNpK5tcembRS7/OUYqmSQYDNLd3U1fXx89PT0Eg0F8Ph8+n4/W1tZfZJL2zUMgtra2GkMg4vE4q6urjbvfwWCwsU44OTl5T6xpitxLFMS/wqjtUkhE+f7cHzj5yZ84+22ctUyJisOL/5GD9D76ONPPHOMfprtotRRZiV7kk08+4YsvviAWi9HX19dYVxwfH2dkZISOjo5bhqk2mUMO6n/+i+/lpl9TffAD3LhJUq1WG4/5XLhwgQsXLhCNRkmn04yPjzM7O8vRo0eZmZm5ZQ+2iNxKQdyTARhsLX3A56cXeO/3V3CPz9Df30V/yIW9kicT/zOXkyW+3R7j9X+d5fBEF87t67c8kF0/xa4+L7FUKuFwOAgEAo1XW1sbfr+flpYWXC5X4+VwOLBYLBSLxVte+XyebDbbODi+/qrVarhcLkKhEMFgkHA43DgtLxwOEwgEbmseosjDQHeZ91IrQnWD6MKXnD2f5Ip3in+a+XuO/F0vAyEXjt0cV+NdrK5l8K37CLc242p20Oa8Ebn+/n7y+TzxeJx4PN4I5ObmJsViEavV2tjOl81msdvtjSG1FosFq9XauIqrHxFQq9V+tB+6Uqngdrux2+20trbS3t5OV1cXXV1djTNSWlpaftZUbJGHma4Q91JOYFz/I7/5t99yZnsQ97/8B/9+NMhQ0HHL/D6jWqVSLoPDgcVq/clRV4VCgWw2y8bGBul0unFsaX3Ia/1clEKhQKlUwjAM3G534wQ8j8dDa2srgUCAcDhMe3t74+X3+3E6nfo4LHIbdIW4h1ohSyX2P1zK+Kh0DfLUkRCtLbYfDTNtsliwNTfDPiPkcrkaY8MGBwfZ3d1tXOnVrwLrX+vrhPUrxpuvHm02G3a7vXEuSv0KUzEUuT0K4h6M0g7VjTjXDDeGN0hP0E6zfY9vvOmGyH5YLBYcDod2gYjco7TCvpdqFWN7m7LFfuMQdRtYdfEl8sBTEPdisWBpdmKrVmC3TNGAqlZaRR54CuIeLC43tt6DhKxZyCRZuVJhp6wiijzoFMQ9NLlasfZMMxSu4sz/L2cWlrmyuU2h8v9RrJXzXM9scOm7dTL5IuqlyP1PQdyLI0RT6FmOTLfRXl3m0//8HV+tJIkXao1vqWxd5srFP/L+7/6LC5fTbCmIIvc93WXeS5MNLD4O/eM/87zzv6mcPscX71ziTz4/bT4Xztp1ctkCBSMAPUeZwoZdN11E7nsK4p4s0OQgMHSYKaMZa5ODhW83SBWr7JZ2wACLO0R78CDdk/10+D3oxBGR+592quyHUcMoZclcvcbVbJGSzU+wvY02vweXFh1EHhgK4r4YUKuwu1tht1LDaLJhs9uw26xY9FFZ5IGhIN7EMAwqlcpt/zv1rXZ34v3c/BVujPv64d/90M27Z/bz662/3/ogidv1S/2Xstv32i4kcucoiCIiJq2AiYiYFEQREZOCKCJiUhBFREwKooiISUEUETEpiCIiJgVRRMSkIIqImBREERGTgigiYlIQRURMCqKIiElBFBExKYgiIiYFUUTEpCCKiJgURBERk4IoImJSEEVETAqiiIhJQRQRMSmIIiImBVFExKQgioiYFEQREZOCKCJiUhBFREwKooiISUEUETEpiCIiJgVRRMSkIIqImBREERGTgigiYlIQRURMCqKIiElBFBExKYgiIiYFUUTEpCCKiJgURBERk4IoImJSEEVETAqiiIhJQRQRMSmIIiImBVFExKQgioiYFEQREZOCKCJiUhBFREz/BxO1rm1BSj+vAAAAAElFTkSuQmCC)
maths-General
maths-
In the figure be low
and
If
and
then which of the following is correct ?
![](data:image/png;base64,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)
In the figure be low
and
If
and
then which of the following is correct ?
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAMwAAAC4CAYAAACvkQMlAAAgAElEQVR4nO3dSXBbd4Lf8e972PeVJLiB4E6KpKiFoihZlry1Xe10ZjLV6aQqM52a9FxmDjnmnkOOc0oOU6maVDI16WSSTnePyz1ud9tqyWrt4iZKXERxBwiCBEECBEHseDnIkiXbbQsUSZDw/1Pli0nw/fH0/73//73/8iRFURQEQXgpcqkLIAhHiQiMIBRBBEYQiiACIwhFEIERhCKoS10A4ahRSG8E2FoYZXw5wdJm5vP/LyHJGjRGG7aKGqoamqh3GnCb1UglLe/eEoERilQgteFnfeRDrt1PMhgsYDdrUatUyLIajd6C1dNMVVuegd4GtE0uzCpQlUlqRGCEIiiAQj4ZZWd5kqVNH+vaFi6crqXCooZMgu3gGLOPr/HzXz9k4y9+RNp1kdM2CWuZ1LQy+RrPU0iG59kMLTMfKYCtGqe3hVqzhFVXJpe5EivksuSSWyQVI9gaaes+RqNbh5zdJhGMoyQecvPXDwgFLuHfKtBtlkFdHue+zAKjAHm25oZ4dOsyv7ifRWq5yLH3G3jbp8aqU5W6gGVF0tsxuuppauugvcaMtpBCaU+Si21z86eTqFIpYokC+Xz5PFsqr8AoSVDCLDya4N5ng8ys5UlkXATts3Saamly2BCR2TtKNkE6vk4oGMCU1SKlNtmYvsP9yQgrDa/R3uSlt1qFUVserQuUWWCUbBwl8ZilxVUm55NonAqZ7VUm740TOGlmq8WGTRbP0vdKYXuVrcQ49+/tsGaTUJJR1iZGmPLn2TD3IhsMWNQKKkmBMnlWVl6B2YmSXxrCvwbLmh4uXYKFVRVXbg8SWG/Fn/Ni0kAZXfBKSCG//oiV5SU+WLdg1EmQz5COhdnOWUjoHITCG/jXMvh0Okxl8pisDAJToJBNsT72KY/nFri7bkFqbuefVUVILo+gylXQ/MYFfNUVVJbR482DVyCfirPx8BOGRyf51eYlmi9Vc9rtwmFUo1YVKKS3WL//KQ8XUlzdMGM0GnDZ1ajL6KSXQWCy5DMb+O/8ihsPNvkH7b/lL9838j1PgJ/9xyvkzVo87w5QX2WlUiW6Y7unkE/HWR/5iJHRBP839if8p3/Zz4/faUILyGTJJdbwOwLory5yed2CyaTH7dCgLqMbx6Nff/JR8ukZHs/FCG0YaOtuxVPXidXaRFebEZNqg4f3xlnbiJHmyXM0YT+okVUG3J4qKh1m9LEIqWSSzQLkS120PXTkA1PYDpMOPGAmmCKwpcJp2Ca9vcVqeAeVWUchHSc8NkogvMlqFvIiMftCyaXIJTdZX4+ykciCxYZOp8MolUEle86R75LlN0LsTA0zG86xlCpQE39A8LGebCZCLq9lZ3ub9Pgg82v9LKTAYyqbMbTSUhQUFJ4u2C2ko6Qi8zy4P8WkP0PO14rT6aBaBZoyOt9HODAFIEsktMLkyCRbioWsOktsepJ5nYqVQgplW2IrtUOFPMXy4iqP5nY41WlAp5XK5CFnaRQ2Z0mN/B3/8F8+YviXVlQoKPkc+VyOdMqFoaWTvzh7nv4ODxaJshr7OrqBUXJQ2CAcWmV8PAKuDqqdPrwODVoVgAlsVrypAprYMBsrK8w8XmenpQajVn2Ev3ipSMhqHcbqNuoaEwysx5EzGywvbgIKiqRD1tlwN56g5XQfb1xspcGqRl9mV6ajW28KSUhOEwqFGZ11UPnj9zl26XX+2KdC/+ySlic8+I/Mmmb4b9FlFqZn2Hi7EotRLbplRZNRGRzUXPoL/qgvyevJAtIL51BCklWotAb0BgMmkxptGT1OfuqIBkahkEqQmR9nZS3BtKaTt71euls9VDkldM/uMgsYW3xoT3fg/qcw4flpHm32YTLoMelLWf6jSZLVaCwV2C1gL3VhSuSIBgYK2Szp1XVSipF8czsN9S6anBLq5x7JFAqgsjgwNrRizU4TWn7E2HwQS2EHvaX8rn6lpNVqMRgMaDQaVKpyumt5kXRU9yVTsklyMT8rG3n8W3q8TZW4HSb00pNZS4VCgWQyyaOH97h7/WOuXJ0ksJHC0dyAw6Apm/UZpVQoFFAUBUmS6O7uZmBggObmZuz28m1/jmy1kTQGNO42vG7wfs3Po9Eon332GcPDw0xNzWJyOeiu0X1+9VM4mpeJw2V6epr19XVcLhfpdJpUKoXVasVmsyFJ5dmCH9nAfJtgMMhf//VfMzY2htVq5a/+6q+4cOECOp2u1EUrG3/zN3/DysoKdXV1hMNh/vEf/5HTp0/T3NwsAnPUKIpCNpulsrKS06dPc+LECTo6OpBluWz/MQ+a3W7HYrHQ2dmJ3+9na2uLhYUFvF4vPp8PWS6nMf4nyjIw+XyebDZLoVCgtraWN954g/b2djwez4u/qCifr1KXkKRyWbFxcIxGI3q9ntraWlQqFZubm8zPz1NZWUl9fb0IzFGxs7PD1tYWuVyO2tpaLl68SEVFxYu/pHw+Oq1AHhUalYQki8gU62lr3dzcjNls5s6dO2g0Gt588000Gk2JS7f3yu8SACwsLDA6OkoikcBkMuHxeDAYDM/9RoHszgahex9w63e/5e+uBZlZS1IoWYmPvpqaGk6cOAE8uX9cWFhga2urxKXae2XVwijKk8mAjx494tatW2xtbaHRaDAYDF8aGyiQ3Q6zfP1/8Tu/k5/rHVQ5dDR5jEiIrtluuFwunE4ndrudzc1NxsbG0Ol0WK3WUhdtT5VVC5PP50kkEkxPTzMyMsL29napi/SdIUkSer2e/v5+PB4Pn376KQsLC6Uu1p4rqxYmHo8zMzNDJBIB2OXTMIXs9gY78RgbGSNaowm324K6zGbd7getVsvx48eJRCLcvHmTpaUlYrEYZrO5bEb/y6qFWVtb47PPPiOfz9PV1YXJZCoyNApQIBGaYXn0M35/6wGD06tsKZAVA53fSqPR0N7ejtfrJRqN4vf78fv9pNPpUhdtz5RNYLLZLCsrK1y7dg2j0chrr71WZP9ZIRtfITr+AZ99cpmffjTNck6PymbHLJXXIqj9IkkSarWampoaLl26xNbWFjdv3iyrrnFZBKZQKLCxsUEgEGBxcRGn00lvby9ms/kl/4JCbmedzcAk4zd/x72xee6vadDYnbhcVgyiO/bSZFmmurqat956i3Q6zdDQEBsbG2Sz2VIXbU+URWByuRzj4+MsLi7S1NREQ0MDLpfrpccBFCXPzuJ1Jm/8hr/9ZYiw9TiX/vzP+N7JBrpd5TeWsN/cbjfnzp1Dp9OxuLiI3+8nFouVulh74sjf9BcKBVKpFCMjIywvLzMwMEBjYyNarfZb7l+ejPEXdlZJR25zOzqOU86xXnWGgZ4+Lp7w4XOqsYhd/4qm0+moqKjA5/MRDAYZHx/HZrPhdrtLXbRXduRbmFwuRzwe58GDB4TDYV5//XV8Pt9Lfz4f95Oc+4Srl4e4Op7GcOY9Onu7OV2lxao78qenJGRZRqPRcOzYMTo7O7l//z5TU1PPlgMcZUe+RgSDQe7evYssy3i9XrxeLxaL5SU/rZDL60ll3DQ0O6mrSDB/+Z8YHRnnQaxAvDy63SXT1tZGV1cXKysrzM3Nsb6+TiaT+fYPHmJHOjCKouD3+7l58yY2m43Ozk6cTmdRU/hlrR2Ns4Ou/n7OnKinPj7KyvgQV+48Zj6SIJ7bxy9Q5p52y6xWK9FolPHx8SN/L3NkA6MoCoVCgbm5Oa5evUp9fT19fX1FTPiTABmdsxpn9+uc+f6f8cc/eJcf90QoPP49/+d//Jq7M2GCqaPdhSgljUaD2+2mv78fWZb59NNPWVtbK3WxXsmRDUwymWR6eppQKIROp8Pr9VJfX1/8iLKsQtbo0RndVDT0cOqPfsRr3Xa6Ure49Zur/Pb3kyylIVFO+50eEEmSsFqtDAwMYLFYuHv3LsvLyySTySN7L3NkA5NIJBgdHSUSieDz+aivr8flcr3kGgwJSaVF76qn0lNDc5URi8GE0dVAw4U/4vzZY1zyZUmFggSWwsRykDma/74lZzKZ6OnpweVyEQqFCAQChMNhCoWjOTf8yD5WjsViXLt2DbVazXvvvffVxWHfSEZnq6Hx/X+PM6PmdclNnUuPSpKRZDcNAz/E0f42/XkLOouVKj2IB2a7o1KpMJlMNDY2cvLkSRYXFxkdHaWqqupIzi87koHZ2NhgaWmJYDBIR0cHfX19OByOIv6ChKzRY/K0YAJqXviRDqOrFqOrlmIiKHy9p9NlGhsbOX/+PMPDw9y/f58LFy6gVquPXGiOZGACgQDT09PkcjkqKyvp6OgQ6/QPuYaGBiRJ4vLly8TjcaLRKAaD4UsL+w6/I9fRUBSF8fFxxsbG6O3tpaurS4TlCNDr9bjdbtrb2zGbzVy/fh2/31/qYhXtSAUmk8kQjUaZnZ0lGAzS09NDS0tLqYslvASNRoPVaqW7uxuXy8WNGzdYWFg4cqP/Ryow29vbzMzMEAqFUBSFjo4OvN6v28ZPOIw0Gg19fX14vV5u3LjB/Pw8mUxGBGa/rK6u8rvf/Q6NRsOpU6eKmpEslJ5KpXq2BVNlZSXhcJiHDx+ys7NT6qK9tCMRmKeb8gWDQa5du4bZbObcuXNYrVZx/3KEPB3IrKuro7u7m2g0yuDgIPF4vNRFe2lHIjCFQoG1tTX8fj+BQICKigp6e3sxmUylLpqwCx6Ph/fee49UKsX169fZ3Nwknz8aUymORGCy2SyTk5P4/f5nU2Dcbjdq9ZF8Kv6dZ7PZ6OnpwWazEY1GWVhYIBwOl7pYL+VIBCaTyTA4OMjy8jKXLl3C5/OhUqlEd+yIMhqNeL1e6urqMBqNTExMHJktmQ79JTqRSLCyssLs7Cz5fJ7z589TV1dX6mIJe6Crq4toNMqDBw+w2+309/cjSdKhvhAe+hYmHA4zOTlJIpHAZrPR3t5e5DQY4bBqbm7m2LFjrK+vs7i4yPr6+qHfkunQB2Z+fp5r165RXV3NiRMnMBqNR27+kfD1Kisrn72xLBqNMjo6SjQaLXWxvtGhDUw+n2d7e5v5+XkePHhAQ0MDx48fR6PRHOomW3h5Go0Gp9P5bOHf5cuXWV1dLXWxvtGhDUwmk2F1dZVAIMDq6io+n4+2tjbRupQZi8XCwMAAVquVGzduEAwGD/Xo/6ENTCwW4/r16yQSCc6dO0dNTQ16vV60LmXGYDDQ3t5OdXU1mUyGxcVFFhcXD+24zKEMTC6XIxKJcOfOHXK5HBcvXjyyC46Eb6ZWq3E4HHi9XlpaWggEAjx8+PDQ7pR5KAOTSqVYW1tjaGgIgDfffPOrbxATyoYkSTQ2NvL222+zvLzMvXv3Du12TIcyMI8ePWJ8fByv10tzczMOh0NMsixzVVVV9PX1oVarCYVCzM/PH8onZodq4PLp1kmTk5NMTU3R3t5Oa2vrkVuVJxTPbrejVqupqKjA7/fz4MEDDAYDdru91EV7waFqYfL5PKlUiomJCWZmZjh9+jQdHR2lLpZwACRJQqvVcvr0aerr67l69Spzc3OlLtZXHKrAbG5uMjIyQiKRwO124/P5cLlcpS6WcEDUajVdXV34fD5mZ2dZXFxkY2ODXO7wbD96aAKjKAqrq6tcu3YNSZLo6OigqqoKo9FY6qIJB0SlUj17Xcn29jbLy8v4/X5SqVSpi/bMoQiMoijk83kCgQCffPIJNpuN1157rYhNxYVyoVar8Xg8vPHGGySTSa5du3aobv4PRWDy+TwrKysEAgE2NzefbZ2k1+tLXTThgMmyTGVlJRcvXkRRFIaGhgiHw4dmUuahCEwmk2FiYoJAIEBtbS1er5eqqirxKPk7yuVyceHCBbRaLVNTUwSDwUPznsySB0ZRFJLJJPfu3WN1dZV33nmHhoaGl9wjWShHarUas9lMa2srLS0tjI+PMzk5WepiAYcgMMlkknA4zOPHj0mn07z22mvU1NR8+weFsiXLMlqtlra2Nrq7u3n06BETExNks9mSb2Je8oHLYDDI/fv3yeVy1NTU0NraKm72BQBaW1tJJBJcuXIFh8NBLBbDYrEU9cKsvVbyFmZ+fp7bt29TVVXFsWPHMJvNYnMLAXgy+l9XV0dtbS3pdJp79+4RiURKWqaSBebpXmNzc3Pcu3ePxsZGTpw4IWYkC8/odDrcbjcnT55Eq9Vy+fLlZ7uelkrJApNIJJiamiIUCqHRaGhsbKS+vl6sdxFe8HTTRofDwY0bN/D7/aTT6ZKFpmSBicViDA4OsrW1RWtrK3V1ddjtdhEY4QV6vZ6WlhY8Hg+pVIpAIEAgECjZdJmSBEZRFDY3N7ly5Qq5XI533nlHrHcRvpZKpcJqtdLQ0EB3dzfLy8uMjIyUbCCzJIFZX19nYWGBtbU17HY7p06dOnTTuIXDQ5ZlvF4vb731Fuvr6wwPD7O9vV2SZcwlCczS0hKzs7OoVCo8Hg9NTU1ikqXwjaqrqzl37hy5XI75+XlCoRCJROLAy1GSwIyNjTE1NUVfX9+z1+2Jexfhm5hMJqqrq2lqasJgMDA4OFiSN5gdaGBSqRThcJi5uTkikQi9vb00NjaKsAjf6unbmLu7u6mpqeH27dvMzc0d+BvMDjQwTzfmCwaD5PN5urq6xD7JwkuTZZne3l6ampoYHBxkZmbmwPcwO9DALC8v89FHH2GxWDh79ixWq1UMVAovTZIkKisr8Xq91NTUPFuhe5AvZDqQwCiKQiqVwu/3c/PmTZxOJ2fOnMFsNovumPDSJEnCZDJRU1NDT08PiUSCO3fuEI1GD6yVOZDA5PN5NjY28Pv9PHr0iKqqqmcbiwtCsSorK3nnnXfI5/NcvXqVSCRSXoFJpVKMjIwQCoU4efIkXq8Xi8Ui1rwIu2I2m+ns7MTtdpNKpZ7dFx+Efa+xhUKB7e1thoaGiEQivPnmm9TX16NWq0V3TNgVg8FAbW0t9fX1WK1WpqenD2xLpn0PTDKZZG1tjYmJCdLpNG+99Ra1tbX7fVihzD3dWai/v5/JyUnGxsYOpFu274EJBoOMj48jSRIej4eGhgaxQEzYE16vl+7ubpLJJH6/n+XlZXZ2dvb1mPsemNnZWW7fvk1tbS1dXV1igZiwZzweD+3t7RgMBiKRCA8fPtz3LZn2LTD5fJ5EIsHs7Czj4+O0trbS09Mj7luEPSNJ0rP1MjabjY8++ohAILCvx9y3wCSTSRYXFwmFQmSzWXw+Hw0NDSIwwp4ymUz09fXhdrsZGhoiEAiQSCT2bbOMfQvM5uYm169fJ5lMcuLECWpqasS4i7Dn9Ho9x44do6amhkgkwtLSEsvLy/u2wGxfApPL5QiHw9y4cQOAixcv4na7xbiLsOdkWcZgMFBfX09/fz+rq6sMDw/v237M+1KD4/E4wWCQyclJDAYDZ8+exeFw7MehBAFZlqmvr+edd95hc3OT4eFh4vH4viww25fATE1NMT09jdfrpbGxEbfbjVar3Y9DCQLw5InZ+fPnkSSJhYUFAoEAW1tbe36cPQ2MoijkcjnGx8eZmZmhu7ublpYW9Hq96I4J+8pkMlFXV0ddXR06nY6xsTGWl5f3/Dh7WosLhQLZbJaxsTFmZ2c5d+4cbW1te3kIQfhaT7eX7e3txefzcfPmTR4/frz3x9nLP7a2tsbNmzfJ5XJ4vV7q6+ux2Wx7eQhB+IMkSaKzs5OWlhYWFxeZn58nEons6SvM9ywwiqKwsrLClStX0Gq1dHZ2UllZKV7oKhwYSZKoq6vD5/MhyzJra2vMzs7u6XSZPQtMoVBgaWmJjz/+GJfLxcDAgBh3EQ6cVqulqqqK8+fPk81muXr1KhsbG3v29/ckMJlMhsXFxWcDRrW1tTQ3N4snY8IuZUGJEfE/Zub+GNPBOKsJ5Wt+PsfM6Dhzq3HWU09+LknSsxcyqdVqBgcHWV1d3bON//YkMKlUivHxcVZWVl54g5harUbJZ8lnkiSTKZLpLHkFnnw1BSiQz6bJJBMk01kyOYXSbTMtHBpKDpQtwnMPmLh9nXvTa8xFMl/UjXwKJRXAPzXG4PVhpoJbrKW+qDl2u50zZ85gMpmYm5sjEAjs2aTMV542rCgKiUSCmzdvEovF+MEPfvDcTjAKmY1FNpfnebhmQu300HaiEbtKwijlQdlhY2mG4KyfTWcXjqoaumoNqGQJMePsO0xSAWaU2ALRxzf5dKWCk0mZE95GtICUCJNduMLQ3TBXpsy8eyZLo+6LGqNSqTCbzbS0tNDZ2cmjR49wOBxUVVW9ctFeuYWJx+MsLy+ztLSELMucP3+eysrKL36hkCS3s8LC8O8ZvHWHqxMbLG+myKa22PEPMTkyxKc3HjG/nmC7tC+XEg4NFUgGzGY1Vv0OqxPjzE0vsJhSSOSzJKNrBEbvsrASJSi7Meq0WDVfBEaWZTQaDS0tLZw8eZL5+XnGx8fJZDKvPCnzlVuYUCjE1NQUyWSSlpYWuru7nxuklNCaDeitMonJTxiNVvPRTivG7zdQ5QkTG/olN67E+flULX86oMbs1D/ZBfNVCyUccSpAhaepkba1FmxXH7M5W8Pw1kX0lh10kVUe3HzAhvr72E+dxee0UfU1Nbm1tZVMJsNvf/tb1Go1iUQCk8n0SvfWrxQYRVGYnp7m7t27NDc309PT85V9xiRdBabKHi6820/u7jKLl3/KkL6DTY9M6PIaa8ZOBn70Dr3NHur0ErJIi/A5tbMJq6+bnqpfsJhY4Oa9NZqbFjCFFrgz40A+U8up09U4rFq+bne7p9vLtra2UigUuHr1KqdPn8br9e66TLvukuVyORKJBHNzc0xPT9PW1kZnZ+dXf1FtQ+9opue1C5w6VkVj5AZz9z7h19eGuDpvAc8x3nz3DB11Dlwa0boIX5AsNZir2+ltAlthldFbMyxODLMU8DMWb0Dvqud0hx2bSfO19Uar1eJ0Ojl+/DhGo5HLly+zvLz8St2yXQdmZ2eH2dlZgsEguVyOlpYWfD7f1/6upDagqR6g49QZfvIDC+qVGcbv+VH63qe9/yxv1Gpw68VcM+FLJAsGczXHTzZTZc6zfOMzRq/9npG5IEHfaZzeBnrtEpZv6CcZDAbOnTtHRUUFly9fZmlpiWw2u+sNM3ZdSzc3N7l16xbZbJaenh48Hs8fHqiUJCStCiSF/E6CXHKbZGKbyGaKnXQOWSMhFmIKX6VCY7BR0dVDXZUWT/AzHg7NMrIIFce7qW3w4FKD5hvqjkajefZiWaPRSDAYZGZmZtfjMrsKTKFQYG1tjWvXriHLMpcuXcLlcv3B5cdKIUs+uUpkLcTD6R3yGh1Wu4qt2UmWl/ws7eTYyYsxGOHLJGS9CVNrL3U1Znqyd5l9vMnEmpVjJ9vw1rnR8c2VWKVSYbfb8Xq9dHV1EQqFGB0d3fUCs6IDoygK4XCYpaUlAoEADoeDU6dOYbVa/8AncuSSEZZv/orhoWk+yr9D6/v/hn/3pxd4Q3uPjQc3+J+/WWBubYfSvLVQONQkHeia8VQ3cPakjYrmbpzeHgaajXgdL1996+rqeP/994lGo9y5c4d4PL6re5ldBWZubo75+XlsNhu1tbXU1NSg0+m+7rfJxVeILY0yeGuCyaCCuuctjp3/Hm+/3sf3juuwbM9x/9NrjEyvMB99MhNAEJ6RZJB1qDV6TAYtjsYO6tq66KjQ4Ta8fD/e7XZz5swZdDodKysrLC0t7Wr0v+jHyoqiMDo6yszMDP39/bS0tHzDPmMKqdADVgY/5MM7OyRru/gXP36TEzUamuUg3n/1FtGf3ubBRz/ls0YPkq2ShuNqZJV4WiZ8TslBYZNYLMq8P4/tfCv1x49Ro9diLqKSmM1mjEYjdXV1RCIR7t+/j8lkwul0FlWcogKTTqeJxWJMTExw//59FEXh1q1bf+DVaU+aiszGHLGVNAWjBk1hlcDvP+Azo8Qo2xTiq/iTGlz1VgiNMnMtzM8mtXsyNcbv9xOJRHj8+DE/+9nP0Gg04l00e2xycpK1tTVu375NJBKhurp6z4+h5JMoOwtM3nvAzYAa9dI46vsqfhXRYdjFMMTT1cChUAij0ciJEyeK+nxRgcnlcuzs7JBMJkmlUs826ltaWvqWT5qxeQB22By/zebzP1LZqGm3QS5EfDbE3dmiyv8HRSIRtre3CYVC3LlzB5VKJZZJ77FAIEAsFuPx48fP3i63txSUbJLc5gwLyzvMFCpoTqySCgwzFATVLq6qGxsb5HI5FhcXdzXtv6jAaLVaHA4H7777Lo2NjRgMBlQq1aHcnM9oNKLT6bDZbDQ1NaFWq0ULs8cmJyeJxWJUVVXh9XpfnEO4JxTymR1Sa6Cxg77JQavPRaXTiEZiV72Q2tpaCoUCWq2WgYGBoj9fVGBUKhUGg+HZO14O8t2CxZqbm+PDDz+ksrKSvr4+0SXbB4ODg6yvr9PU1ER3dzf19fV7fgwlnyGz1UY8I7OlmKmw6TEb1K/UZZdlGb1ev6vZy0UF5ulGA62trbS2thZ9sINksVgwm814PB76+/vR6XRiE/Q99sEHH7C0tPRsVvBhrxN7QXTqBaEIZRsYo9HI8ePHaWpqOrT3WUedyWTCZrOh1+u/M93dsu2jVFZW8pOf/ASr1YparRZPyPZBVVUVPp8Pm832ndm/QVIO8537K8jlckSjUTQaDVarVbQw+2BsbIxIJEJjYyMul+s78Wa5sg2MIOwH0U8RhCJ8yz2MQmp9kehqgPn1NPF0HpCQZBUqjR6twYzV5cbhdOE2a9Br5AOeA6aQ3lxhe3We+fU0mzu5r1kioEVWG6lsbqKi0kWlXtrVCPF3m0JqI0B8dZG59TRbyfxXz7NsQq13UN9eT6XLglXe3cDiq1PIZxJkoiusrKwRXN0gtpMhnZcoyBr0RitmuwtnVQ1VThMVVh0SL1/WbwjMk33D4kujzNz6DT8fibK0mX0WFp3JjqWijqbuk3R093CywU6FRYvmwBblPynfzsoU/ps/54ORKBMrKaQvH1+2oee80rgAAAfGSURBVNbV0P+vf0j/WScOrcR35IHOHnlynhOBh8zf+pBfDEeZWc98dcGfpg6T+xjv/fn3OOOwYClVYJQ82XiYzZkbDN4Y4rPbE8yuxommZXJaM44qH3WtPXQNXOL88QbsVh0a9iQwAAqZ2CqxlQVmt+pQuTxc6qmAfIZcMs725hzzV6YZu/xrrp/9Pmf6unnvlAfdt//hPaKQ3V5nOzjNQrSOhKWBN3urMDzf0kkGZI2D5jqnaF12TSEbDxMPzjIXqyNja+KN3ko0z0+SVTvRWWpp+rx1KUUZUfJsz1xhYuguv/jNI2L6CnS9/5zvVZixaRVU+STRtQDh2DIPro9g16vwNTpwSqB/yXrxLS2MQj61RTIeZT3Xjbeyjb6zbUiZBOnYGpGAmqkH40Tn5hj5vZWcosLrq6DRJOPSHUTNfNL8pmNhNrLtUNHC8dMdOAzqL27OJA2ySo+j2o5DJwKzOwr5VJzUVoRI7hhWdyun+zvQq6Rn51mSDah0VqocRsy7nOf1akVMoeRiBB7eYfT2PW4t2mjoa+F4/1lONbqoMhbQZmMEH48xs7BONiCjlwsUu4Ts5RoCWY1sqsBZ08yx48fRKgpyPkc+l+X1166zeP8qf/vfb7FwQ+GX3Wf5YasWV+UBDvFIMpLRhdXTSEdXN26zFs2LXwCVWo2sQmzj9CpkFbLRjb26ic6eHkxq+bkKJIEko9aokEsRmPwmSnKC4dsPGZ7MYbn0p7z+xjF+2FeBQaNCLYOk1OCsaqL1TIaLO3l0ZhNGmS/VlW/2krVaAlmNSqNDrzegfe6DRnUPUi7JSe9DhpIB7tyb54KjlnylHZkDOnFKASW5QXxtiZlHJiJGzXP7VKmRZB32ag82uwWbRux9tmuKgpJPk0lusxWLklPJn59nCZXOiNZgRoVUkkevyvYGueAYCysFVpVaOk420dxcgcOkf6EOqjU6dEYFsyUHnw9mF1PeV24GVOY6LLVpeltNLD2K8vH9WSJ9VnLYOaixX0UpUNgOseGfYOReHJNO9VyXzICssdF0Rk+j0YJZLVqZXVPyFHbWiYbmmRxXo38WGBmDqx5btZF6u4zmQLrjLyokomSXHhGK64kbvLS1OfBU6L/2gi1JEipNMe3KF/ag36RCVumw280YdVl2QhvspNKkFXa9ZqFoSoFCapPtnQDzs2n02ucDY0KlrcDQegxXFrEzzStQcmlyoVFmgov87w0HKkniyW2/iqred2l5rY732jVYdQf/GFLJZMjHYiRlE1m9BatOxrAPxdiTGw0JCVmSAOXznTgOuFpKMrLBhdXso/2YD/OXWhiVxkq9y4xdI1qXVyLJyHonVlMtTS01aOUvAuOsqcBjkdGrS3SCFQWpUEBBQpHkJ/VxH4qyB4FRKBTyJJMpsjkFtdGIRq3+xs3V9pokq1FVdOHrepsf/biPSpP2S19MbBS4FySNEU3DBXpPv8F/+MszX3PTX6rBSpBkFZJWh7qQR85mSBUUcvtw3X71+7NchPT2PI/mYmzsGGjpasPpsBY1GLSXJKQnbwB44b8SFKSsff05LuVplswWNF4fLu02hpif+aUk69G9f3/KLgOjUMilySYirC9NMPtwmPvLKrZ1tZw95aXKaUZFaU+g8N0imeyoajqpd4GrEGD6/ixzixGiGYXsc7kpZLZJbq0TDKwRiSZIKxQ1FrO7wCh5cskN4oFRhj/+kA/+/kNuxBtRfGf4kwE7DZVaERbhQEm6KmTXAN2dLlrsIR58/E/cu/eQyWiOxHN9s9zWEqHpYT79+A7DE342FMgU0XV7qXsYJbNNdvEG93f8/Oetq6gKeZRcmkwyztZmim37KfpOX6S37ziddjW2A35IohSy5IKDTK+H+a+Z65h06i/GYSQjssZBy/kBWlobaDFLaMQc7fIj65G0lTT1X6Rf0bN8009s+EP+z9oItS4zVi1olDRbkTWiOyoichsDjYWiJl7CSwRGpTOjNxpxpKaZHZ3g7ydkUEDSGFBbPHg7z9LVd57vvXWCY14XngNdwymh0hrRmR3YMovMzD7mZ7Pyi/csshON0cdb1npkjxefSSpqZFd4QqUzo7dV4C5YsJsPYw9CjSSbqDn5JmqzjULi//HJnSFu3Podst2OVq1gKGwT3TEgO1poOH8CRWd4spl5EV/mWxaQPZneH1sLMB/JksgoyE//uqRCUuswWhxYbA4qKmxYDFp0B3r1VkhvBtleXWB+I0ssWfiifM9okNRGKnw+3BUO3GI+2S4opDcCbIWDLGUr0VudtNdbPx+HOWQKKdKJGNFQkLVwhLXNGLFEmnRepiDpMFmtmO1ObC4P1RU2qpxGVLz8vYlYcSmULSWXIp/ZIRpLkMrJ5GQDNrsJk1G360F1ERihzCm8UMNfsVUs211jBOGJvR2HE8+LBKEIIjCCUAQRGEEoggiMIBRBBEYQiiACIwhFEIERhCKIwAhCEURgBKEIIjCCUAQRGEEoggiMIBRBBEYQiiACIwhFEIERhCKIwAhCEURgBKEIIjCCUAQRGEEoggiMIBRBBEYQiiACIwhFEIERhCKIwAhCEURgBKEIIjCCUAQRGEEoggiMIBRBBEYQiiACIwhFEIERhCKIwAhCEURgBKEIIjCCUAQRGEEoggiMIBRBBEYQivD/AVvElGynl2oXAAAAAElFTkSuQmCC)
maths-General
maths-
If ABCD is a square, MDC is an Equilateral Triangle, find the value of x .
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)
If ABCD is a square, MDC is an Equilateral Triangle, find the value of x .
![](data:image/png;base64,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)
maths-General