Mathematics · 2020
JEE Main · 9 January 2020, Shift 1 · Q66
If e_1 and e_2 are the eccentricities of the ellipse, x^2/18+y^2/4=1 and the hyperbola, x^2/9-y^2/4=1 respectively and ( e_1, e_2) is a point on the…
If $\displaystyle e_1$ and $\displaystyle e_2$ are the eccentricities of the ellipse, $\displaystyle \frac{x^2}{18}+\frac{y^2}{4}=1$ and the hyperbola, $\displaystyle \frac{x^2}{9}-\frac{y^2}{4}=1$ respectively and $\displaystyle \left(\mathrm{e}_1, \mathrm{e}_2\right)$ is a point on the ellipse, $\displaystyle 15 x^2+3 y^2=\mathrm{k}$, then k is equal to:
Official answer
(2)
$\displaystyle 16$
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JEE Main 2020 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.