JEE Main 2024 (9 Apr, Shift 2) Maths Q15: Conic Sections

Question

Let the foci of a hyperbola

H

coincide with the foci of the ellipse

E:\frac{(x-1)^2}{100}+\frac{(y-1)^2}{75}=1

and the eccentricity of the hyperbola

H

be the reciprocal of the eccentricity of the ellipse

E

. If the length of the transverse axis of

H

is

\alpha

and the length of its conjugate axis is

\beta

, then

3\alpha^2+2\beta^2

is equal to

Official answer

Option 4

NTA final key.

Accepted Answer

Option 4: $225$

Answer

$205$

Answer

$242$

Answer

$237$

Answer

$225$

JEE Main 9 April 2024, Shift 2, Maths Q15