Mathematics · 2014
JEE Main · 9 April 2014, Shift 1 · Q82
If OB is the semi-minor axis of an ellipse, F_1 and F_2 are its foci and the angle between F_1 B and F_2 B is a right angle, then the square of the…
If OB is the semi-minor axis of an ellipse, $\displaystyle \mathrm{F}_1$ and $\displaystyle \mathrm{F}_2$ are its foci and the angle between $\displaystyle \mathrm{F}_1 \mathrm{~B}$ and $\displaystyle \mathrm{F}_2 \mathrm{~B}$ is a right angle, then the square of the eccentricity of the ellipse is :
Official answer
(1)
$\displaystyle \frac{1}{2}$
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JEE Main 2014 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.