JEE Main 2024 (4 Apr, Shift 2) Maths Q14: Conic Sections

Question

Consider a hyperbola H having centre at the origin and foci on the x-axis. Let

\mathrm{C_1}

be the circle touching the hyperbola H and having the centre at the origin. Let

\mathrm{C_2}

be the circle touching the hyperbola H at its vertex and having the centre at one of its foci. If areas (in sq units) of

\mathrm{C_1}

and

\mathrm{C_2}

are

36\pi

and

4\pi

, respectively, then the length (in units) of latus rectum of H is

Official answer

Option 1

NTA final key.

Accepted Answer

Option 1: $\frac{28}{3}$

Answer

$\frac{28}{3}$

Answer

$\frac{14}{3}$

Answer

$\frac{10}{3}$

Answer

$\frac{11}{3}$

JEE Main 4 April 2024, Shift 2, Maths Q14