Question Id : 14339 |
Context : JEE Main 2024 (4 April Evening Shift)
Consider a hyperbola $\text{H}$ having centre at the origin and foci on the x-axis.
Let $C_1$ be the circle touching the hyperbola $\text{H}$ and having the centre at the origin.
Let $C_2$ be the circle touching the hyperbola $\text{H}$ at its vertex and having the centre at one of its foci.
If areas (in sq units) of $C_1$ and $C_2$ are $36\pi$ and $4\pi$, respectively,
then the length (in units) of latus rectum of $\text{H}$ is:
🎥 Video solution / Text Solution of this question is given below: