Mathematics · 2015
JEE Main · 10 April 2015, Shift 1 · Q82
An ellipse passes through the foci of the hyperbola, 9 x^2-4 y^2=36 and its major and minor axes lie along the transverse and conjugate axes of the…
An ellipse passes through the foci of the hyperbola, $\displaystyle 9 x^2-4 y^2=36$ and its major and minor axes lie along the transverse and conjugate axes of the hyperbola respectively. If the product of eccentricities
of the two conics is $\displaystyle \frac{1}{2}$, then which of the following points does not lie on the ellipse ?
Official answer
(3)
$\displaystyle \left(\frac{1}{2} \sqrt{13}, \frac{\sqrt{3}}{2}\right)$
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JEE Main 2015 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.