JEE Main 2022 (30 Jul, Shift 2) Maths Q75: Conic Sections

Question

If foci of the hyperbola

\frac{x^2}{a^2} - \frac{y^2}{12} = 1

and the ellipse

\frac{x^2}{25} + \frac{y^2}{9} = 1

coincide, then the eccentricity of the hyperbola, with foci

\left(0, \pm\sqrt{10}\right)

passing through the point

(a, a+1)

, is

Official answer

Option 2

NTA final key.

Accepted Answer

Option 2: $\sqrt{2}$

Answer

2

Answer

$\sqrt{2}$

Answer

$\frac{3}{\sqrt{5}}$

Answer

$\sqrt{\frac{5}{2}}$

JEE Main 30 July 2022, Shift 2, Maths Q75