Question
An ellipse has OB as a semi – minor axis, F, F' are its foci and the angle FBF' is a right angle. Then the eccentricity of the ellipse is
- none of these
Hint:
Eccentricity of ellipse formula is given by
![e space equals space square root of 1 minus b squared over a squared end root](data:image/png;base64,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)
The correct answer is: ![fraction numerator 1 over denominator square root of 2 end fraction](data:image/png;base64,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)
![](https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/generalfeedback/1717480/1/905490/Untitled.png)
![G i v e n comma space
F space a n d space F space space apostrophe space a r e space f o c i space o f space a n space e l l i p s e comma space w h o s e space c o o r d i n a t e s space a r e space left parenthesis a e comma 0 right parenthesis space a n d space left parenthesis negative a e comma 0 right parenthesis space r e s p e c t i v e l y space
a n d space c o o r d i n a t e s space o f space B space a r e space left parenthesis 0 comma b right parenthesis.](data:image/png;base64,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)
![rightwards double arrow S l o p e space o f space B F apostrophe space space equals space fraction numerator b over denominator negative a e end fraction
rightwards double arrow S l o p e space o f space B F space space equals space fraction numerator b over denominator a e end fraction](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAALUAAABmCAYAAACN+dAoAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAABHKJxGrQAACDpJREFUeNrtnVFkHF0Ux6+IlYcIfaiqqBJREX0IfVhVUaUPFRUV6rOiapU8V5SoFfGpEH2o6kOpWrUqwqo8ROStqiqqL1WfiFr60IdPVIiIqIqS7x5z1nd79s7MnZntzs70/+PQue7cnrl758y555y4SgGQHt+19GAaQF4Y1vIPpgHkiRtaVjANIE8saKlo+VvLjpYfWt5oOY2pAVmlruWLljktJ9i3fgTrDbJMQ8uoaBvQcoCpAVmErPJ3S3sfFjXIKkX2nyUXtbzG9IAsUtLywtI+q2Ue0wOyyBMtZdFWUF7cGtGPLvMTT3Xo/zrmyEFWWeWN4lW+HuS2chaU71VeHPJf5cUhP2i5ZumX9XQpPdMeyxY/dxA0Fz+1fOXFuWaxUD948ZpyxPNE/65leL6+aZnkhU3z8El5yZhMsMbK9vDOlt7EuuiT9XRpL7+0Y3w9GtJ/mH9EkwfCx7T1kZb6L3wcO88V5RZIz3q6dCqi/vS8y5YxlkP6yEUN37NN3FNegNyFaeUWnqF06ZxoO6mlquWQP8M1tvTyPtc0K/m6r7gPffIvOz6Dqx5zEebQ1r8m3LKwMb9gKbaPCi+KSw59z7CvXA+xKnXhT51gd6TMbssAW8KHlvtc0qwDPN6k4R5sOejvoseq8HlLDuPWDZdsjF+auyFzIikm3GSGSe44dpRFh83dGFtrsnTzPv0bvPttQotmVvQZ4n7yPpc0K413X7StcwgpCFc9PvML7ErDmMNDn41zwzLfg7Cpv5cqT/SyY/8SW+1NLf1Gu0yX0vWu5RNP1/sB95n9DkS/fXYjzLaDkBcyqR5B4x7yvwsc0nqv5ZxPn7wYwE5JYkWXVLQwHC3ml+rXjJFMl17Q8s7nc/sm4LqJTLMWfXTfDNE1qR5BbsNry97jYUifTi9E+NQRuMVW3rTgZihrUrWG/BT7nIsB9zWRaVa/8cJIqkfQF6tqmZPnCcYEbYh+9Ce4nyz1deOa0qUzxjX5lxuWT/a2lhFxn0ualSz3hxh6RtFjJsK4Nr2rYoNJfe5gqXUfT3lzNmJs4BY4rKZE9GDCuG4mMpoLv5k+rVjuc02zbrOF7eGIBuk1HqJ/FD0mIszLqrExJD//pvKSLIUEY4IOcZ6tMsV2j3gzZLM+e5bN2DgvxCOOLJR97ruh3NKsQ+wf/+RxXa2gqx59EeZlz/BbaW5WLFGNqGOCHFDgHz5tyNLu4OcA7WCCP9Fp8pit9xJ+DtAObvNmKk0o5DeFnwIAYIM28FS/8433L7Q/OmvpF7d+B4COs85f3mb9jq3uJW79DgAdp6Rak1w11RrSjFu/A0BioqbgqcTgomh7K9yPuPU7AKSC/DM+WzFX3PodAFJhV1xTTdFH0Ra3fgeAVKBSBDN7SsVospQibv0OAKlAf3D8jN0O8qOpPn/D0i9O/Q4AqVFh92KerTbFq2VIL279DgBdwUlMAQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAACAfCPPcQEg0wwr77xDAHIDnQCwgmkAeWJBecdd0LHMO8o7cpnOSjyNqQFZhc5u+aJlTv1/LPMjWG+QZRrKOzfchM4VP8DUgCxCVvm7pb0PixpklSL7zxI63PM1pgdkkZKWF5b2WeWdkQhA5niipSzaCsqLWyP6kWGf8tQf/PyrvFG8yteD3FbO24P2Ki9mSQerU8ySDk6/ZumX9dQqPdMeyxY/dxA0F3Qk8VflhcDWLNaM+hwLOerieaLjlyd5YdOzfVKtxzHngjV+sB7eBdNbWxd9sp5a7eWXdoyvR0P6D/MPbvJA+KO2PqALuKLcgu5ZT61ORdSfnnfZMsZySB/wm7invGC6C9PKLZRDqdU50UaHrle1HPJnuMaWXt7nmpIlX/cV96FP/mXHZ3DVYy7CHNr614RbFnVMkIAKL4pLDn3PsK9cD9n91oXvdYLdkTK7LQNsCR9a7nNJyQ7weJOGe7DloL+LHqvC5y05jFs3XLIxfmnuhsxJEo4dJPccO8qiw6ZljK01Wbp5n/4N3ik3oUUzK/oMcT95n0tKlsa7L9rWlRduCsJVj8/8ArvSMObw0Gfj3LDM9yBs6u+lyhPt6veV2Gpvauk32mVqla53LZ94ut4PuM/sdyD67bMbYbYdhLyQSfUIGveQ/00vFYW/3ms559MnqwYvjnSF4ksRw0u0mF+qX7NLMrV6Qcs7y72yn2tKtuij+2aIrkn18KNo2WdMC5emqNqbVob70Uaf2sYttvKmBTdDWZOqNeSn2OdcDLiviUzJ+o0XRlI9gr5YVcucPE8wJmhD9KM/wf1kqa8b15RanTGuyb/csHyyt7WMiPtcUrJkuT/E0DOKHjMRxrXpXRUbTOpzB0ut+3jKm7MRYwO3wGE1JaIHE8Z1M5HRXPjNVGvFcp9rSnabLWwPRzRIr/EQ/aPoMRFhXlaNjSH5+TeVl2QpJBgTdIjzbJUptnvEmyGb9dmzbMbGeSEecWSh7HPfDeWWkh1i//gnj+tqBV316IswL3uGH0tzs2KJakQdE+SAAv/waUOWdgc/B2gHE/yJTpPHbL2X8HOAdnCbN1NpQiG/KfwUAOQP2nxT7c033nvQ3uaspV/c2hsAOs46fzWbtTe2mpW4tTcAdJySak1Q1VRrODJu7Q0AHYfKAy6KtrfC/YhbewNAKsg/wbMVYsWtvQEgFXbFNdUDfRRtcWtvAEgFKiMwM59USCbLIOLW3gCQCvTHws/Y7SA/mmrrNyz94tTeAJAaFXYv5tlqU7xahvTi1t4A0BWc7AYl/gO68L9DfdJ8ewAAArt0RVh0TWF0aE1MADxtYXRoIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8xOTk4L01hdGgvTWF0aE1MIj48bW8+JiN4MjFEMjs8L21vPjxtaT5TPC9taT48bWk+bDwvbWk+PG1pPm88L21pPjxtaT5wPC9taT48bWk+ZTwvbWk+PG1vPiYjeEEwOzwvbW8+PG1pPm88L21pPjxtaT5mPC9taT48bW8+JiN4QTA7PC9tbz48bWk+QjwvbWk+PG1pPkY8L21pPjxtbz4nPC9tbz48bW8+JiN4QTA7PC9tbz48bW8+JiN4QTA7PC9tbz48bW8+PTwvbW8+PG1vPiYjeEEwOzwvbW8+PG1mcmFjPjxtaT5iPC9taT48bXJvdz48bW8+LTwvbW8+PG1pPmE8L21pPjxtaT5lPC9taT48L21yb3c+PC9tZnJhYz48bXNwYWNlIGxpbmVicmVhaz0ibmV3bGluZSIvPjxtc3BhY2UgbGluZWJyZWFrPSJuZXdsaW5lIi8+PG1vPiYjeDIxRDI7PC9tbz48bWk+UzwvbWk+PG1pPmw8L21pPjxtaT5vPC9taT48bWk+cDwvbWk+PG1pPmU8L21pPjxtbz4mI3hBMDs8L21vPjxtaT5vPC9taT48bWk+ZjwvbWk+PG1vPiYjeEEwOzwvbW8+PG1pPkI8L21pPjxtaT5GPC9taT48bW8+JiN4QTA7PC9tbz48bW8+JiN4QTA7PC9tbz48bW8+PTwvbW8+PG1vPiYjeEEwOzwvbW8+PG1mcmFjPjxtaT5iPC9taT48bXJvdz48bWk+YTwvbWk+PG1pPmU8L21pPjwvbXJvdz48L21mcmFjPjxtc3BhY2UgbGluZWJyZWFrPSJuZXdsaW5lIi8+PG1zcGFjZSBsaW5lYnJlYWs9Im5ld2xpbmUiLz48L21hdGg+fD8BSwAAAABJRU5ErkJggg==)
![rightwards double arrow S i n c e comma space angle F B F space space apostrophe space space space space equals 90 degree](data:image/png;base64,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)
m1m2 = -1
![rightwards double arrow negative fraction numerator b over denominator a e end fraction fraction numerator b over denominator a e end fraction space equals space minus 1
rightwards double arrow b squared space equals space a squared e squared
rightwards double arrow e squared space equals space b squared over a squared space minus negative negative negative negative negative space left parenthesis 1 right parenthesis](data:image/png;base64,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)
Eccentricity of ellipse formula is given by
![e space equals space square root of 1 minus b squared over a squared end root](data:image/png;base64,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)
![rightwards double arrow e squared space equals space 1 minus b squared over a squared](data:image/png;base64,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)
From equation (1)
![rightwards double arrow e squared space equals space 1 space minus space e squared
rightwards double arrow 2 e squared space equals space 1
rightwards double arrow e squared space equals 1 half
rightwards double arrow e space equals space fraction numerator 1 over denominator square root of 2 end fraction](data:image/png;base64,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)
Thus, the eccentricity of the ellipse is ![fraction numerator 1 over denominator square root of 2 end fraction](data:image/png;base64,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)
Related Questions to study
The equation of the tangents drawn at the ends of the major axis of the ellipse 9x2 + 5y2 – 30y = 0 is
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The sum of all possible numbers greater than 10,000 formed by using {1,3,5,7,9} is
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Number of different permutations of the word 'BANANA' is
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Number of different permutations of the word 'BANANA' is
In this question, one might think that the total number of permutations for the word BANANA is 6!
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The number of one - one functions that can be defined from
into
is
The number of one - one functions that can be defined from
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is
Four dice are rolled then the number of possible out comes is
Four dice are rolled then the number of possible out comes is
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The number of ways in which 5 different coloured flowers be strung in the form of a garland is :
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There are 17 balls, so the total number of arrangements = 17!
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The number of different signals that can be made by 5 flags from 8 flags of different colours is :
Each of the different arrangements which can be made by taking some or all of a number of things at a time is called permutation.
Thus we can say that the permutation concerns both the selection and the arrangement of the selected things in all possible ways.