Question
The sum of the subtangent and subnormal to the curve at is
Hint:
We are given the equations of x and y. We are also given the value of θ. We have to find the sum of length of subnormal and length of subtangent at given value of θ.
The correct answer is: ![2 c](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABMAAAANCAYAAABLjFUnAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAMyZLetQAAAL5JREFUeNpjYIAAayBeA8SfgPgXEF8A4mgGMsFBII4EYh4oXwuIj0LFqALkgfgSAxXBDxziIB90AfFTaLCsA2JBfAZZQr2KzaBzQNwKxHxAzAbEJUDsg8sgDiA+CY0YdNABxJOI9RrIuRuA2A2LHBMQvybkJRhQghqkgkPeFIgPE2OQBhDPBmIuPGq8oIGNF4gD8SogZiGgzhiIbxAybAvUZcSAC9CYZIHGZgF6RP3Hg9GBLDTH/IEm6mQGWgAAv7AlX6VRTtMAAABTdEVYdE1hdGhNTAA8bWF0aCB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMTk5OC9NYXRoL01hdGhNTCI+PG1uPjI8L21uPjxtaT5jPC9taT48L21hdGg+9SGF2AAAAABJRU5ErkJggg==)
x = c[2cosθ - log(cosecθ + cotθ)
y = csin2θ
A tangent to the curve is given by the slope at the point. The slope is given by ![fraction numerator d y over denominator d x end fraction](data:image/png;base64,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)
let's differentiate x w.r.t θ.
We will differentiate y w.r.t θ
![y equals c sin 2 theta
fraction numerator d y over denominator d theta end fraction space equals space c cos 2 theta space fraction numerator d over denominator d theta end fraction 2 theta
space space space space space space space space equals 2 c cos 2 theta](data:image/png;base64,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)
Now, let us denote slope by m![m space equals fraction numerator d y over denominator d x end fraction
space space space space space equals space fraction numerator d y over denominator d theta end fraction cross times fraction numerator d theta over denominator d x end fraction
space space space space space equals 2 c cos 2 theta space cross times space fraction numerator 1 over denominator c left square bracket negative 2 sin theta space plus space cos e c theta right square bracket end fraction
left parenthesis m right parenthesis subscript theta equals pi over 3 space end subscript equals 2 c cos left parenthesis fraction numerator 2 pi over denominator 3 end fraction right parenthesis space cross times space fraction numerator 1 over denominator c left square bracket negative 2 sin begin display style pi over 3 end style plus cos e c begin display style straight pi over 3 end style right square bracket end fraction
space space space space space space space space space space space space space space space equals fraction numerator 2 c left parenthesis negative begin display style 1 half end style right parenthesis over denominator c left parenthesis negative 2 cross times begin display style fraction numerator square root of 3 over denominator 2 end fraction end style plus begin display style fraction numerator 2 over denominator square root of 3 end fraction end style right parenthesis space space space space space space space space space end fraction space space space... left curly bracket cos fraction numerator 2 pi over denominator 3 end fraction equals cos left parenthesis pi minus straight pi over 3 right parenthesis equals negative 1 half right curly bracket
space space space space space space space space space space space space space space equals fraction numerator negative 1 over denominator negative square root of 3 plus begin display style fraction numerator 2 over denominator square root of 3 end fraction end style end fraction
space space space space space space space space space space equals space space minus fraction numerator square root of 3 over denominator negative 3 space plus space 2 end fraction
space space space space space space
space space space
space space space space space 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)
m = √3
y1 =(y)θ=π/3 = ![c sin fraction numerator 2 pi over denominator 3 end fraction](data:image/png;base64,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)
![y subscript 1 equals c sin pi over 3 space space space... left curly bracket sin fraction numerator 2 pi over denominator 3 end fraction space equals sin left parenthesis pi minus pi over 3 right parenthesis space equals sin pi over 3 right curly bracket
space space space space equals c space cross times space fraction numerator square root of 3 over denominator 2 end fraction
space space space space equals fraction numerator square root of 3 over denominator 2 end fraction c](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAVwAAACJCAYAAABgkoAEAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAABEsZUXFwAACalJREFUeNrt3V+IVGUYx/GHJWSRRRILCRRjWURERDAhMREhJERERDGREDFCJMILoaKiICTxosSiGxOJyAvR1YvFhAiRZZGNMJEIMcIr6WIvgiW2ZVmbnqf3Nc/OnH8zc96zM2e+H/ihc2Z2dvc557x75j3ve44IUJxNmkuaSc2M5o7mAGUBgOLd1OzXDPjHqzVjfhkAILAVmruUAQDKMZ2w/KhmSlNLyduUD+gtNAyt2yiuWyHO15rl4vp9d0WW2+MdlI7tnLr0JhqG1vRrxsWdTEvzu6/vYw80Sykf2zl16W00DPkt1lzVbMt43VP+6CH6+C/Kx3ZOXXobDUN+g76xHcrZ5XCj7vEPlJDtnLr0NhqGfFZpzmoW5ny9DRk7H3m8z3+EA9s5delhNAzZ7OPVRf/XP68vNYcijz/WfFHhGtkJmJMV285P+t+L/R+F6bWGoRUj/gi3GdYvti7y+ITme98dsbBi9VmruVXR7XzM/37s/z2oFuA9u6FhWCmu73RqnuqVNmwmjp3xvV23bIO4qcHfVHDbGqvbhjpRq9v5es0o+3+DKcl/PoMGt8sahnuarR2ygbJtzbVOkscjd4p2t/NR3/Cy/8/1st83QWOAkpzSvFnx3/Et6ez+6Y7ZN8+J6wSud8wfOpdtwG+gD8VddWpY3LhOY0OObsjcmR9ZDc/jx3v9RwObamoXWlneAw0u9covZK2uazYnfN+qzGQq48x9t27Pc36mg76Bi7J+ifuaJS2+eVbSGtvbvqFfpFmgOS5PZnT8pNnZZMNT88W233GFX3bIF71KZmKW9WK9Wt3+QtZq0m/Lcaoyk2mB/z27dR2FNBt9sF3ccJ6oDzUfzMNKs48kZ1Ken4oc7TZT8Pq+zb6EBqpbPSfxZ8CpV34hazWb4/tXYSbTTBevo5DG/T76HzuK/SXy5LN+5feXvLKsCBMZBbUjgKxrrNZyfNSWlI8j7Wa+jur2d2m9OqWuIWuV1eC2MpOpnZqFWh8zXbyOQtZlX/1z0ZX9qbj+27I/0tmZvzxDS6zbwWYz/SpuKFSRBe9W9lFphHoV0qUVolZpXQqmCjOZyuhS6Nbt+VqkO+M/1tAN+vzujzbrrfTdDHcC/VDWtTHcxOvflcbhGr3a4Nb/0aRe7Sm6VjZmM+2qaVWYyVT2H4lu2p4brgltK9c6o7/VvJbwRTbm7I2AP6iN4WtmvFpSP0yvNiA16lVo91aRtcoaFlaFmUxvSuPJ925aR6Xum9aFYMPD7hawY7fDjp5thIL1YS3yP1fSkcHhuo9hVWlAagm/Q9ayrN+nqvUKoehaZU18qMIU57InPnTT9tzwvXb5hTtb+eIC2VlaG64x6xv/wwmNzKzvF3mOBvd/synvVeV6FV33ULWyUSRx1xvoxinOcZ9ORyuwjkJp2Dd3Sv4La/TajKatfuVO+b4YG598WloboxzSD37n7aOGHanTL17Tzjqq8sVr2qlLn98nG/q27Q030uDGso8tu2XuWWb7+He9w35OG853TvKfKaaG5TsinTv9tdV1ZP22b7D/x5r0++Sz0YVrJHlIEQ1uejFBDVlH1CUoGlw3fI4rAFFD1hF1CdrQdsKsqvlkUy1t+I7142xnu6OGrCPqgvB/bI5REmrIOqIuCMuu82BnHe1iFFsoBzVkHVEXhDfgiw5qyDqiLijBNCWghqwj6oLwbJD3fcpADVlH1AXFsqnGdsV4u76DzRyxmSd2ceiDlIYaso6oC4pl96Ia8R8hLDbzZAdloYasI+oCAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAtMMuRlxrIwCAnF4VdwUhAEBg32lepwwAENYzmj/9vwCAgI5orsQst6vCX9NMibtosd2O47RmCSUDgNZY3+2ehOW7NQsiy9ZprlMyAGje85oJTX8TXzNJ2QCgee9ozjbx+kHNPcoGAM37WfNKjtct1RwS14+7nbIBQLKBmGVrNH+Iu3VykvoJDscoJQDEG9Kc943lS3XPfaL5LOf7LNbs0oxrtlBWAGj0vm9wbZztj3XPPdC80MKR8jhlBYBkRzX/iOuLNS9qfsvoTkgyTTkBIJ1NYLjg//+55qMW3mOtuBNnAIAUX2n+9ke1NvZ2Vcbrb2r2+tf3iZt5Zt0QByklAKR7WvNIc1lzK8frN2tGfBeCxWae7aCMAJDPqDC8CwBKscE3uMsoBYAqsKFTpzQPNTOaYXHjWLO859Psc83awyoC0CnauaWMNba3NSc0i8Rdaeu45O/7jGtYi2xsAaAyTmrOtPke0QaWxhYAYtjQqYmc3Qd5Gt3v22hsa/MUACilS8FOSI0W9DO02+ACQKXZZQuHC2ps6VIAgBTrpf2Lc3PSDAByuiNuhIJNh7VRCjbBYFMbjS2NLgAkWC7uGgSzmruaw5QEAPCYHYFfEndzyBl/lH6AsgBA8eyIfL88uQ3Pas2YXwYACGyFuC4RAEAJuLMDAJRgo7huBQBAQP3ibhS5iVIAQDh2HYirmm2UAgDCGfSN7RClAIBw7IaSZzULKQUAhLNUc1HcdGQAQEAjkn3LdABAAbigOAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAB0Gbs1ea2NAAByelVzgzIAQHjfaV6nDAAQ1jOaP/2/AICAjmiuxCzfqrmmmdJMa+5rTmuWUDIAaI313e5JWL5bsyCybJ3mOiUDgOY9r5nQ9DfxNZOUDQCa946425LnNai5R9kAoHk/a17J8Tq7hfkhcf242ykbACQbiFm2RvOH5qmUr6uf4HCMUgJAvCHNed9YvlT33Ceaz3K+z2LNLs24ZgtlBYBG7/sG18bZ/lj33APNCy0cKY9TVgBIdlTzj7i+WPOi5reM7oQk05QTANLZBIYL/v+faz5q4T3WijtxBgBI8ZXmb39Ua2NvV2W8/qZmr399n7iZZ9YNcZBSAkC6pzWPNJc1t3K8frNmxHchWGzm2Q7KCAD5jArDuwCgFBt8g7uMUgBAeHtK/n42lOyU5qFmRjMsblwvAHSMKtzaxhrb25oTmkXirjx2XOgLBoDCndScoQwAev3oOESibCjZBN0HAOhSCM9O0I2yGgEgPLuM4zBlAIDw1gsXKweA0twRN0LBpgfbKAWbcLGJsgBA8ZaLuybDrOau5jAlAdDL7IjzkribQ874o9IDlAUAimdHoPvlyW14VmvG/DIAQGArfBcAAKAE3NkBAEqwUVy3AgAgoH5xN4pk+BYABGTXPbiq2UYpACCcQd/YDlEKAAjHbih5VrOQUgBAOEs1F8VNvwUABDQi2bdMBwAUoJtv4QOgB/0LKgYRktHjsOQAAAOJdEVYdE1hdGhNTAA8bWF0aCB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMTk5OC9NYXRoL01hdGhNTCI+PG1zdWI+PG1pPnk8L21pPjxtbj4xPC9tbj48L21zdWI+PG1vPj08L21vPjxtaT5jPC9taT48bWk+c2luPC9taT48bWZyYWM+PG1pPiYjeDNDMDs8L21pPjxtbj4zPC9tbj48L21mcmFjPjxtbz4mI3hBMDs8L21vPjxtbz4mI3hBMDs8L21vPjxtbz4mI3hBMDs8L21vPjxtbz4uPC9tbz48bW8+LjwvbW8+PG1vPi48L21vPjxtbz57PC9tbz48bWk+c2luPC9taT48bWZyYWM+PG1yb3c+PG1uPjI8L21uPjxtaT4mI3gzQzA7PC9taT48L21yb3c+PG1uPjM8L21uPjwvbWZyYWM+PG1vPiYjeEEwOzwvbW8+PG1vPj08L21vPjxtaT5zaW48L21pPjxtbz4oPC9tbz48bWk+JiN4M0MwOzwvbWk+PG1vPi08L21vPjxtZnJhYz48bWk+JiN4M0MwOzwvbWk+PG1uPjM8L21uPjwvbWZyYWM+PG1vPik8L21vPjxtbz4mI3hBMDs8L21vPjxtbz49PC9tbz48bWk+c2luPC9taT48bWZyYWM+PG1pPiYjeDNDMDs8L21pPjxtbj4zPC9tbj48L21mcmFjPjxtbz59PC9tbz48bXNwYWNlIGxpbmVicmVhaz0ibmV3bGluZSIvPjxtbz4mI3hBMDs8L21vPjxtbz4mI3hBMDs8L21vPjxtbz4mI3hBMDs8L21vPjxtbz4mI3hBMDs8L21vPjxtbz49PC9tbz48bWk+YzwvbWk+PG1vPiYjeEEwOzwvbW8+PG1vPiYjeEQ3OzwvbW8+PG1vPiYjeEEwOzwvbW8+PG1mcmFjPjxtc3FydD48bW4+MzwvbW4+PC9tc3FydD48bW4+MjwvbW4+PC9tZnJhYz48bXNwYWNlIGxpbmVicmVhaz0ibmV3bGluZSIvPjxtbz4mI3hBMDs8L21vPjxtbz4mI3hBMDs8L21vPjxtbz4mI3hBMDs8L21vPjxtbz4mI3hBMDs8L21vPjxtbz49PC9tbz48bWZyYWM+PG1zcXJ0Pjxtbj4zPC9tbj48L21zcXJ0Pjxtbj4yPC9tbj48L21mcmFjPjxtaT5jPC9taT48L21hdGg+axY75wAAAABJRU5ErkJggg==)
![L e n g t h space o f space s u b n o r m a l equals open vertical bar y subscript 1 m close vertical bar
space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals open vertical bar fraction numerator square root of 3 over denominator 2 end fraction c space cross times space square root of 3 close vertical bar
space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals open vertical bar 3 over 2 c close vertical bar
space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals 3 over 2 c
space](data:image/png;base64,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![L e n g t h space o f space s u b tan g e n t space equals open vertical bar y subscript 1 over m close vertical bar
space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals open vertical bar fraction numerator begin display style fraction numerator square root of 3 over denominator 2 end fraction end style c over denominator square root of 3 end fraction close vertical bar
space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals 1 half 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So, the answer is 2c
For such questions, we should know the formula of subtangent and subnormal
Related Questions to study
Which is a pair of geometrical isomers ?
![](data:image/png;base64,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)
Which is a pair of geometrical isomers ?
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)
are-
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Assuming earth to be a sphere of a uniform density, what is value of gravitational acceleration. in mine 100 km below the earth surface .... ms-2
Assuming earth to be a sphere of a uniform density, what is value of gravitational acceleration. in mine 100 km below the earth surface .... ms-2
The two optical isomers given below are
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WKrte+z/NDXubzwva4Og9k0pPPYd98CweMAXwtLBDrmCNVrFE+/B43EFH/uk6vJzqxC0qFi2qHGzDKMDwp3OD+jhemraS0+5385d576sNQCIGSMpox/+rHmAte5pmqRM78452MTIrA9OQ8NAW0FheIIUIIgkGBFvDh8wYAPQLQvF7cXh+apoXl4OhpbesPbM4PsiN1MDf1NxIMvdxo6cmuk7mkK4AfR4kdpz98K2FzaBoEA7WD90HNgqpTAAW/14vH50ccZelN6XfkccKqFSzxdib+jO4MyTi0qf57UKKg7wPcC4CTHVUuPJqC8RQUt7mOG4iq0YK/ysHP/zmLEY/rsehDrV2hoTnKKBsygvMsLXetKrPZXL/AlMnUMpbG8xbuoaxMIcKWRloyLeyq8a+jt0bh2DyfT2dmknxP3R+cAh47Xn0E4nwNo9pyA7FugSmDwdAigl34fRTtzcHlbkdmYiLtTpOV74+bZFrQj2pWSD7nFv7QL4m0WBWf0CG8DmrWvcGzmh5v4Oj9sPLyctasWUMgEDgBK9qdeKqqYrfb2bx5MwcPHuTrr79m7969eDyeU120IwSDQSJsNkaMHIXf4yLgVzAYrZgJz+kLJ5rm92Jq15HunW/llkG1LUShmggW/8SeLSuZpioEj9IErqqqYvfu3eTl5Z2YFe1+BwaDgdWrV5OTk4Pdbuezzz5DVVU0LfzGNzRNo3PGGZyZYsHldiK0GEwGIy2jKXF8x+8yB/3oLFG0P+tO7ryxHSkNFnb1zvqOT74z4PUf+cUJIaiqqmLFihX4fL6wrIw6nQ63201+fj5VVVVs2LCB/fv34/f7T3XRjuD3+4mLT6BvvwEk2KIxW8Dtr6KG441Pt+B+cgOaz40p+Ux6j7+PKRc32FC5gax3d/DKNh2BowRiTU0N27dvZ+3atRiN4dlZU1WV7OxsioqKqKmpYcWKFSiKcgIWrD+xhBBomoZfqPTqMIDYqFgUvQOH243r+O9uETWxGX1dBYRGwFVFVWUbUpJqW3rCa6fK6ceviSZbKGazmdTU1LBuITocDlwuFyaTiXbt2tGxY0d8Pt+pLtoRAoEAUdEx6PV6dGmZtGuzCbEjh+xcGN2ZI5uJvkocgQh0Vt3pcZFBp0MEfXgdVQhi6k9Xq7Jj99ROBz7aaRqNRuLj4+nUqRN6fXgO7ej1esrKyqipqSE2NpYOHTqg0+nCsoUYDAaJjYkBo4mEjDNJsiyivLiIfVXQM+awnUUQvFVUaHHEWXXoWkA9PG4NUZRjLfOqoDQRh4qikJyczOTJk0NXP8Pv01BVlbKyMpYtW8a+ffu4+uqr6dOnD8Fg8PhvPslqP0MdOlUHMcMZ0Hk+/b7byKLVB/lLh0TMhzd+Nj7FR6Xn4skcw62JLb9bXV/+X9jMSEpK4rzzzuPcc88NyzoItfVwzpw5rF69mvT0dO64446w7TILIdDp9KDzwPAxXBIzgwXbt7Bys5+LRhka71yTDz88w2O+R/nj2dG0Dc/fo0aOOQ8RBYIBF+UFKurAGKKsh1p5iimKqqIteAMjsdqijnoIRVHCsqvckNFoRK/XoyhKfZcq3MsMvRg5YTQ7sp7g/nvHc6M2j2evSaNDXX2s/Ii/fd6BnsPac2Mm4IzGotfji4rEaob6L7cFqSn3UVMRjTkyulHJNS1IZfFWNEME0TYrQKN5iIqioChKWPZQGtLr9aiqil6vr2/Jhnc9NANncfVtA1gz/XVeuLca4//e5rGz6r6dfA7kLuPuLwdy5xQzg2x68gw2rAYDphiV2uuwovYmg1N3EkdQp06dOvWoWxTYt/xNPnjhaaZ/U8Ku/D1UR3QhLT2ZJE8u6965nalvrmPNj7nscxjQJaYztFPkSS7+b+dyudi9ezfr16/nvPPOo02bNqe6SM1iSUyhXVszEaU/8M6in/nxu2X8uGIBn331NQs2+onoNY5LzzmDdr5NrHzzHp6ZvZbvNlfhs6aS2j2ZhFP0txYMBlm0aBHz5s1j5MiRx9/f7+XHd+/i5TfnM399AYXlVQTb9uHMjhGInM+Z//pDPD5rH8W5e9mhJZKS0p4uCS1viH/btm3k5+cTExPDoEGDwrY125iRuI6dSLFUUJ27njc/W8PejUtYsvBLPl+0gVXFCXQdPYErBsfj3/4mH73xDC8v2MXmnAC2Lpm0bxeBLcxO85iN2Kp9hVT7Y0gY2oVOgXxKK6ooccKZunKqCrdhTx3LWbEVOJSDbCpwnKwyS0JAVDqdL76Px1Pjyf3Xp+TkFvD97gBBc3sMPccx4+JMMiOhZmcljtISTIMGYyuqwF1cRHmgHxiO/8+c2CILXC4XS5Ys4ZFHHmHfvn3cf//9x3+fplG6Yw/+lMF0idSIJpfsUg8eDURpNuU1XpSuYxmnq2J/RQW7yzzQreX9MLdYySMZfUccbZNnUPjscrb+rEME3LhiR9I/rS93TWiPHijZV4BXVbH26YU5bycVdhcODZLCrBGsiCYvZTXVrWp53a1jqaysZOnSpbzyyitMmzaNnj17nuoinThN3sN28r9DTdPYsWMHd955J8uXL6dHjx5s27btNxyx6XNoiTX0k08+qR9DnDx5cgtpIdY6/ufdcr6RYwysNHkl5XcpiPQ7aPpq2EktBtROcerRowevvvoqV155JQ7Hb+1RNH0OsoaeXMf/vFvONxLeI83SKXG8+W+/dn6coiikpqYSExMTlldQJakFXAiXTjZFUdizZw8zZ85ECIEQgjZt2jBgwAAGDx6Moijk5OSQk5OD2WymT58+zJo1i6KiIvr06cMFF1yAzWar7/Zt2bKFjz/+GIDevXvjcDjC/qqv1DrJQJSOavHixTzyyCN07NgRt9tNMBjkwgsvpG/fvrjdbmbOnMmnn35KYmIiN954Ix9//DFr1qyhX79+xMbGMnbsWFRVZdOmTcyaNYu5c+eiaRrjx48nPz8/bCdJS62b/JmWjrB06VJ27drFgw8+yN69e8nKymLUqFGsWrWKTZs28dFHH/Hpp5+yfft21q9fz+zZs1m4cCELFy4kOTmZGTNmEAwG2b9/P1OnTuXbb78lPz+f/fv3k5mZSVZWVpjPsZNaK/kzLR1h2LBh9OnTp37Ceps2bejatStr167FYDDwpz/9CafTybx580hJSeH5558nOjoai8VCQkICLpcLnU7H0qVLadu2LRMmTKg/9iWXXMLGjRtZu3btKTxDSTo6GYhSI0IIrFYrVmvtXR/Lli1j3rx5zJ07l4SEBHQ6HTabjTZt2hAbG0tcXBzJycn1760LUZ1Oxw8//IDX6200lSkmJoaYmJiwe3CBJIEMROkwiqLgcDjIzs5m3bp1lJSUYLfb0el0jebGBQKB+v8aqrtvXVEUioqKEEI06h7XPTGl4UWV49/r3jrmxEqnnhxDlI6wfft2nnnmGe677z4SExP54IMPmDx5Mna7HUVR8Pl8+P3+I0JSp9PVv6YoCklJSVRXV7N169b6FqHT6cTj8eDxeNi1a1ftE9ePOwlZwV1eTPHeHHbl7mZ37i72HXTiDCjgd2Av3snu3XvYvSuHnPxiCqrC72lFUssgA1E6wvfff4/D4eB///sft99+OwB2ux1VVQkGgyxevJjCwkIMhqPf/1c3VefSSy+lpqaGZ599lqysLADWrVtHdnY2JSUlZGRksGNH85avXTdtCrcNzaBb165kZmQw7onlrDgAIu9bPpuSSa8zMujSLYOM8+/i6pm7TswHIbU6h3WZG3ZB1jDr7v/x6odryLOYUBGMfWYjNyXvp71nK2t7XsflbXbx+c1vkBPZkz7/uY5xEYcfXjp5jnEr2y9chW7QoEFs2LCBu+66i6effhqdTofdbsflcnHRRRfRr18/tmzZQkFBAREREfh8PoYPH878+fP5+uuv0ev1aJrGI488wr333svTTz/NmDFjsFqtDBo0CIfDgcViYdmyZXTt2rVZZRo65UHcpiDGGV+zZcI7PH3DUMa0B0Ubx9j75vOUfxL3l13FuZdP5oXruzX/ZKXfqJlPrGkhoxuNAlGgoGgeKFjIE089zbJ96SRdeCfjO/kJBMGSPZW3396FK7EPQ/9TyPKX7+GldzbjO68tHcPvEYKnrc0fPMHSn3LZ4bZgUwVR59zNDeO6kHrwW1Z+8TZzctpiDVRSnjqGwaPP5Y7hSb/o+L169eLmm28mMzMTTdPQNI2EhAQsFgulpaWkp6dTUVFBdXU1FouFxMRE0tLSuPLKKxk6dChWq5X4+HhSUlJo06YNFouFrKwsAoEAffr0we/34/V6GTp0KNCMMUQBpthe9Bs6hNxNKzlwxlkM6ByPWQFUC8m9z+OCYd14Nrs/3TIySI0+yU+uaMVqw7CKyp8X89oLX7FHZ8DtriHtnJs4e9x4RpZ9ysZ2EzgjWcG3eTWrPt5L/F1/pl+iLuyedAOHBaICBMs2s+21Z3hyfgXD736Kh/4+ir6hMfHSz/7Kcyv3kuvuhb3aS/keO8QZMLczY5AXDU8ad3kOm754l49zgY5DmNjDhU8DxeegNHsF37xbyD53JJaL0kkfEDju8Q4XFRXF2Wefzdlnn/2L3jdixIijvj5p0iQmTZrU5PuOO4ZY/2xDPRFxAhH0E2z4Fp1GbGInjDkKbpcTuSTuyaP4S8hfP5vZsxYwe1k1lnY6ggE3jqglaFX72fLjl7juHozqXc+OadOZ/rbGxX+6gcwEwj8QoZD87EU8+uQ6ejz4PfdeO6w+DAGSLn2TJwd8Tu72PF63pzPpuc+ICU5mg8mBp4W2EOv+GFvS00WGTJlBZKRC+9k/8POfFjLzmliseiDyYi5/NJNk/RlcWP0Mz9x+FbcOjmopvZXjEkDAF8BbWUTRfiOxSXrcwoBWU8yBgzV4/Rq6FvQ9tnxBWPsyD//jVT6wj+CRhUt4IDTDqmbdi8yYehP3rxzFXZOryJ49h8VfLCW7wxVcrobvSpGNA7FsF+UbtvAZg7htSCopiUd5R/L5pLfR+I8i0OHG5Q0SDM+1e5ql7spo3f+3DAqRMZEkpQQIeN14/DFY9bVBoEOhbad+GLaqodUDo06LMARQjVb85dVs+nAkQ6cqGHSHlsTFH8A35nxslnD9Uzu2uqvzh1+5D18+YC2v3P02OfqJ/Pm/j9eHIYBt8BTueHMYV698mUdKE+j811f5d+c+dHt9FToFgmHao2wciBUlFO4rJKDLJL2ThZijDcXoDOh0YKF2YR9NNL3MhaZp7Nmzp5lTK04+vV5PRUUFhYWFuFwu9u7dS0xMDC7X8dcQO9k0TcNoNJKWlgbUXiRRjXoM1hhiLQ2mvsTFEh9lRdWBdppNftb8HvRRJrrd8AJTRrUlLU7FJ/RoznIqvn2Ce6uNuL2Nn6KjaRqVlZWUlZWF7Q+e0WiksLCQiooKbDYbOTk5YbumiqIoxCa0JT5ag6zlzMmz4j+vP+cMazhOXTuyqE/pT+KF93OnJ56OiYKiyGgi9aJul7DUKBB9XjcOpxuUGGwRSrMeqnysmMvLy+Ott94K62VIXS4XeXl5FBcXM2/ePNasWRO+y5DGxXHrrbeSlJSEarTgO7iX7R/8k7uzbESaFIIYEI5iKrflUhYXxGQIzwD4tYQWQGeOJGngRCZd1abB05YDODzv8tQqFf9hTY+ioiJWrlzJunXrwnoZ0h07dlBYWEhBQQFutzsslyGF2iUgho86h8vG9qdmy0/s9XSge8dUujVaeUOhNvF0EJVJRhSAA4/XT0BAeH4LtRoFotFoxmo1g6jB6Rb8llgIBALU1NRQVlYW1oHo8XioqanB7/dTWVmJXq8/4u6LcODz+RBC4HQ6AVD0BoJOLyWbFvBFropBVRAoCL8Lv7MchmmoLWHdx19EQUEj4LZjr04kKa428DVXFXZ3kIB25PQil8tFeXk5ZWVlYR2Idrsdt9tdvyRpuAaiz+ejqqoKn89DSXkJ+NsRY7Nx5KINh9e98FpMqimNu8xxSbTvkIwistmX58HeFRIPv7lPaAgBQQX0xzsru2IAABCRSURBVDhDvV5Pr169eOutt058qU+gmpoalixZwrRp03j88cfp0aPHqS5Ss/hddkypXRn5h+/57IYkouqa8/Z97HvvGvr/ZMDlbaFXupokaKoXqQWDHK0f1q1bN7p168add975+xbtN/r0009ZtWoVnTt35o477jjVxTkuraYQvcEISpBAMMjpUtMa96kSu5Aw8EwuERvYsL6I4oral+uqmQDI/5zdy17mvpU6fIAh/Bp+v4imafW/xOH4i3xMQiCE1jgktCBBIWqvLLeEn+TmCH0tXncNpXkqqjmSCPOhqqszWDhY8DNevw+LtWXeHVB3d09LqYM6vYGOKWnozSUcrKjg4BGJePh5iHAdNmzksEGmDrTpPIrrJ0WS9dbNPPjKQlYePNT4VdjE16uLeHdTMleeAUZiMOpNRFgsWKNPetlPiLqJx3UPHWgpdDodOhWEFiQYPFRuTRMoir72O2sJNbA5FNj20VSef+Qpnll+kO+fmMSdb63lxwrgwAa++e9obn67hv2znuLFF57j/q8KTnWJf7G6utdiQtFiRRk2nJGmvXh25vLjnoYba+9ewVcB26bzxroacvzG0FrM4e2IIkYkDmDUlHu47clpzFz4CvcUbOGvA6x4AgKdqGC36EXnAWczIMHLwQ3T+Oan1axxVdKj/QDSrxpGZiQYTpeWSRgL+gN4alT05gisxgatJb0Rj72QoE7FbDEDLeauqWPSRARte45jbOdYbEEHtkg9QqsNEGNkIt3O+zOZnkpqUmJbSFukpbNCwtlcOSaOJzZ/xvtvdKP//13G8HZQO17owVu0kc8X5uMZFMBiiASjGZOqxxihYgwtVB9uNfPIe5ktMcSe9QBPdWiD4cG3eWnekzz4lR4FQXWn25n6SF8mj40l6Kpiz6J32eKt4uddu/HMmseG84eRZpOB+HvzO7aStXknP21zUp2xme3FA+ibGoFO+Cna+QPLN+7G6drOnrzBOPpGYTO28C9ECHpedS89r7r38A3AIEb/fSGjT0W5WjUd0IWxk6/m+8deYNrHD3OHOZ43LkskLsKM6tjM1tw8ZlRdysf9o4lmD9/n7WJPeQXmn3MptKUTHaMLszgERFM0TQSDAREINPwvKIJag12CARFssE1r8mDhq6KiQsyZM0eMGjVKZGVlneriNMtXk4eLUTEIQCjGCHHGv1eLdeVCeDZOFy+eX/s6IOh3q7jivdxTXVypGebOnSvuuusu8dJLLwlNa2F/SXmfii8eGF5f7xQQxIwQPW/5XOwJ7bL3w2vEnQMRoBcwWEyet1Ns85/SUh9V0716RUGnHPuKiaJTwy/hW4ER975F15sc2IMqegUMbbrSKQoMmZO48sW+DP+vGVX48VuSiEtsc/wDStJvkTqOc6acycaJlbVjh0IjqI8mMj6ZjqFd2o3/D/f2u5PrXCZ0mpGEzh1IDMMLsi1gmFM6XHSHTKI7HP6qAH0SSV2SOPzZNuE3UiOdPgRCicCa1IX+TT1USQhM8WmkxqeReth7w61mnl63MrRqTVes8Kpy0umlGROum5z/FX41UwaiJElSiAxESZKkEBmIkiRJITIQJUmSQmQgSpIkhchAlKQwIVrCPcynORmI1D670ePxtKiHO0inl0AggM/nC8tncbYmimilP0sNp4SWl5ezbt06zh4xGEvUsVdsa3qN4/CbZCq1HJXVVeTvy8NsMpKR2b3Bll9ar07c+tytUau9U0WhiO2LV7J60x7KdDpcTgfO5JEMSywjxlfA3oS+ZNqOfAiuongoXP8NP/+8k50+G6aAE9OZFzJiQCaZaj47V81i6b5ohNeFLzaduO7DuWHwL1sXWTrdNVjc3buDJe8vI7vMQbnHjSkqiUFR3Rni3ky1JRZPXAfSzUd5f7Cc7AWfsKnIS6kHLBYrUf0v46K+cRjzlrNx41rWHYjFhpOKdsMY3r8nZ6XbTv6ptjCtMBAFuEso3vwubz4/n3nL9uJLMKADhtqGcJDdxGsHKL6qL+kRR3squJcDP33OJ0/P4N09gM5Gz7u70rZbJpmGQnZ+9ThPvlPDfg/Q4wrG3pEhA1E6jIJCkGBZFltWvMEz/1nMtioHPlOA2PYZ7EsYSVnWNCr7XUD8eUcPRE0rY+fCV5j24VbWO0Bp348JD41hdK84bPnfs3LGv3lwMQj0cMFjPJmQLgOxOU7xwyVOPmehCHx5o+gYhcj4y2vi/d2HNm15vr+Y0E4nEvveI94qFMIdbOogXrF70aPi34NtYsjTW8TmkkM7BtzVYvU9NpF++RTx59n5v+upSC1Y8VLx/X/PEigGccmbeeKnitqX3aXZ4utbFZFEihh1zydiqaupA2hCiDKx7L7h4trx54iJH1Y0ehJVVdYnYuZ1OqFcP1t8tb36dz6Z00cru6hi52D+1zx522xME17kbzf+gT+lH9qa8ZfPmfHGv3n1zwY2ZoOvyfFtI1Fx7ejURaDT6xstjq4aTKR17k1EVDworXJ4VjquQjbOeZ93pufT/e9f8u8L29MntnaLObEbIx/6mbVvjWF8D4Ufc5o6hgLEk5waSdv2AhQ9DdcUi4xKIK1zb3QGI6ocOGy21tVl9u+l7Ke1vL0/lgHjzmN47/j6BRMVwBDVnrbn/oULDh4kIQDmYzyeSEGH0aKgmiKwRTWocKqJxPg4THpVXjGUjq5mPT9s2MNSdxcuv2w8PUJPaBNCoCgK1uRepF3+N66oTKDqiO5yY6oeDBY9enPjde90MdHEx0aj5Gv4g6fLElC/v9YViEUFlG7NZa8ygOt7RJEQWo/oUJwJhDEVS/vU4z+BWacScDspWf0B7weTyUhQ8WoqwuekZtUuChz96aNv3AA/6vU/eXG69dmexZ7CAAeThjDojNonqkLtIvB1RFR/Okc141iqCe+BLexc9Brv1VjR6xSE3kywcBO7N5YSMAn0hy1HK6tc01pVIPqd1ZSWVYLSg6QEFcsRexz+KCM/rvJKHE4PfqMZU3QCcWYdOgV0qpGgW5C/6FEena9iqvskhUC4nTiH+zAbGzcxlaAbt8NBmd2HoliJTorCalQJw+dkSr8jR8UBauwQZWpHoo2jfv+NfqSFh5riSpyBIMIaRURUNNGhJaZVowVPwR6y5v+dybMb1F6/i4AxCi7S0KuNa7Xir6GiyoHDDQajjdi2kZiQIQmtbGK2oiiheVgCIY63KF0Q+Ik5N13M+I4d6ThwLFd+WEiJo/ZdQb8bfZSF3g+tYMW2ImoqSik5WEFxwR62vHQ2Z3axUOM+rMtcuJAFj19Mhw6dSU39P6ZvKuDg73KmUjirq4eiWcth1eCq/ILHembSu2MHul/1IA+vcNdvDbjt2HqN4II3siksKqas9ACllTUU/rSABX/PRDWreAMNbjjQApD1Andd0Z+OHQcycPSLLAtquI/yL7dGraqFqLfF0DYpAUQeB0qDuLpB42nYDeaHEaBkziZsN/yT+//hRMvaxscPvc+ms2/lnMg49EKgKDpUazQxsZFgAKsBMMcRsBnRqwqHT3nP96TR8fy/s2FiMvaaaNK7tyH2JJ27FD4iEpKJiv4Z+/79HKiCYMyR+9R3a4tLKfymiG6z5/F+9DY2TC9m72Mf8/O4G+gN6ISGohoxRsYRFWmtf78lJppoy5HL0Qr0bAv0Z8pjb3FrIBFNjSdTp8P0u55xy9GqWoi070Bir270EJvYsrWKCmfty3X1RaCgVG+hOnc5H28zEUzqy+DxFzJx6DX84bwJjI7+lt3lNRQDBlWHThWIgA+f99AvsPB5CWhK6JgNE/EAWV9+wuxX17CqMo0x43rQKcaCSZOLZrY6Z/ahWwcjKSU/sWbroVaJaPALqhQvZnPOLhYWJZGQMZxzzh3H+MF3MWlQIl11K/ixGryAXtWhKBqa34vWoCJpPj+BIyaR+NHEVr6dNpMP5pdS2bY3I4ank6CAKish0NoCUZdOfK/BXNuhjJ8XfMyXK/Ko1g6NnSg4Kdu6lm+Xb2S3A2JHDyHVbMAAeIxp9LzEgE2vQwUEAbxOBUVvwmA49DEqehM+dyWa0NAbQgM9CKAQXVUheT+t48P3ZjL9h3yKvUHQNeMR7NLpxTyYgf3SGBWxnQUfzObbnQ6CNLioEixi14rlfL9pD+XRUcQNGUSn0Fsju7Sl+xgVvbM2SP2+IH6vimowNpp2gwI+VyVC1WM01EWuFxz7EOVFrF/yJa+9O4/Pd1fhCe0vtbZAxEp80ij+eP9ZGL+fyuPPv8YTX5chfG4cThfkzeWNjQoLqsfzwGAaXXTR0OFMvZSh6VEk46Jw/z525oCvpoIal69+P6+9hO07srCXFeH11I3MKLA3gYH/fo8Ps17n64m53H33hyzaVoL3pJ6/FB4S6TP2As6/zMb+t6/h5ldXsGBrNQT9uKr249wxm3s3DCQq4Uyu7dL4nS5rGsa0cYxOFqgUkLu7koK8AH5XFY4GPZXykjx2ZG8h6Kyk2hmqZR49urIzmLRoJasXXMpEdQU3TJlPbkAgJ+aEnOqZ4adCwFkmvIv+JiYOSRGgExFWi7BaTIJuN4s7ZmwQRQ321YQQoni5OLjoYfHXz9yiVFSJn165WlydXLf+sSK6TJ4r5u0RQuxfKeb9GRGvD23rcokY8lxorWctKOruZwmU5YmNz94upq/eKdbWnNRTl8KIVrxR7H39IhEbEyXAKGwWvTBFpwjLiCfFzJ+LxRFVY+tzYsGns8VD3wsR9G8Tc69NE30sobqWmCFGvZQj8j1CVH7zgPj36Abrc5/zqHh4cahWBwL19bByw0Kx7Pl/iJd3BUWp7ySeeBhrVRdV6qjWeNTRU5hqO5eJeyvQhfoaPlsP+vfvRrsG+ypVK1j8/VY+LBnOo7eZScSEacwt3JY8gQv9VgxBN8bOA+mdAKjdGHDTe7x+gQ3N78Ef2Z7oTimhA+nqm+NqrMqBlVUYhgawyNtLW6HaSyZK2750uuxRZrXNoazaC4oGagTE92Z8ZiKNqkbeh/xrmZmIboP453DQkcygvz7L45f6qPKByWQmIrMNcXownDGJSf/KIOO2SCy4scf3pFdmaFKjqtbXQ80VoHRtNZF/BtVwcj+BcCUf/9XU9qAfV/ZCls1+kYe+sZPFYKZdmUrKmFsZ1juGpF80w1rgyf6KRT/ksHm/B6NiQatKYtSUCfROjac582+l003zpkcLZwkHNszhk3df4W/rO5PRrRsP/aE/SSOv4ZyORxvzavq4mquMiqyv+OiHEipdGjgjiIruwrn/nEBnFIxHfVfr0ipbiNCMqqj5cW//jPd/OEhJkZPuxs956gUdYxOuoFPHGJKOmC9zjCMK8OYuYfHchbz7naBz9/H835f/R59kiJT3DbRSzfvOhX0/xT9+wctrFTr7duBdt4YnKnYzKe0aBrWjfoJ2s47rqaLip7m8+9YWtu+OY8yNdzLl0fPp3vQ7Wp1W20KUJEk6XCu7yixJktQ0GYiSJEkhMhAlSZJCZCBKkiSFyECUJEkKkYEoSZIUIgNRkiQpRAaiJElSiAxESZKkEBmIkiRJITIQJUmSQmQgSpIkhchAlCRJCpGBKEmSFCIDUZIkKUQGoiRJUogMREmSpBAZiJIkSSEyECVJkkJkIEqSJIXIQJQkSQqRgShJkhQiA1GSJClEBqIkSVKIDERJkqSQ/wcxo6BWDKV/CQAAAABJRU5ErkJggg==)
The two optical isomers given below are
![](data:image/png;base64,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)
Number of stereoisomers of the given compound
is -
Number of stereoisomers of the given compound
is -
The given pair is
![](data:image/png;base64,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)
The given pair is
![](data:image/png;base64,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)
If the mass of earth is 80 times of that of a planet and diameter is double that of planet and 'g' on the earth is 9.8 ms2, then the value of ' g ' on that planet is ….
If the mass of earth is 80 times of that of a planet and diameter is double that of planet and 'g' on the earth is 9.8 ms2, then the value of ' g ' on that planet is ….
If the relation between subnormal 'SN' and subtangent 'ST' at any point on the curve by is
then
For such questions, we should know the formulas of subnormal and subtangent.
If the relation between subnormal 'SN' and subtangent 'ST' at any point on the curve by is
then
For such questions, we should know the formulas of subnormal and subtangent.
If the radius of earth is R then height 'h ' at which value of ' g' becomes one - fourth is
If the radius of earth is R then height 'h ' at which value of ' g' becomes one - fourth is
An object weights 72 N on the earth. Its weight at a height R/2 from earth is ……N
An object weights 72 N on the earth. Its weight at a height R/2 from earth is ……N
If mass of a body is M on the earth surface, than the mass of the same body on the moont surfae is
If mass of a body is M on the earth surface, than the mass of the same body on the moont surfae is
If the density of small planet is that of the same as that of the earth while the radius of the planet is 0.2 times that of lhe earth, the gravitational acceleration on the surface of the planet is……
If the density of small planet is that of the same as that of the earth while the radius of the planet is 0.2 times that of lhe earth, the gravitational acceleration on the surface of the planet is……
The depth of at which the value of acceleration due to gravity becomes 1/n the time the value of at the surface is (R= radius of earth)
The depth of at which the value of acceleration due to gravity becomes 1/n the time the value of at the surface is (R= radius of earth)
The moon's radius is 1/4 that of earth and its mass is 1/80 times that of the earth. If g represents the acceleration due to gravity on the surface of earth, that on the surface of the moon is
The moon's radius is 1/4 that of earth and its mass is 1/80 times that of the earth. If g represents the acceleration due to gravity on the surface of earth, that on the surface of the moon is
The length of the tangent of the curves
is
For such questions, we should know the properties of trignometric functions and their different formulas.
The length of the tangent of the curves
is
For such questions, we should know the properties of trignometric functions and their different formulas.