Mathematics · 2022
JEE Main · 30 July 2022, Shift 2 · Q75
If foci of the hyperbola x^2/a^2-y^2/12=1 and the ellipse x^2/25+y^2/9=1 coincide, then the eccentricity of the hyperbola, with foci (0, ± √ 10 )…
If foci of the hyperbola $\displaystyle \frac{x^2}{a^2}-\frac{y^2}{12}=1$ and the ellipse $\displaystyle \frac{x^2}{25}+\frac{y^2}{9}=1$ coincide, then the eccentricity of the hyperbola, with foci $\displaystyle (0, \pm \sqrt{10})$ passing through the point $\displaystyle (a, a+1)$, is
Official answer
(2)
$\displaystyle \sqrt{2}$
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JEE Main 2022 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.