Let the eccentricity of the| HYPERBOLA | JEE - MAIN - 2022

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JEE MAIN 2022

28-6-2022 S1

Question

Let the eccentricity of the hyperbola $H: \frac{x^2}{a^2}-\frac{y^2}{b^2}=1$ be $\sqrt{\frac{5}{2}}$ and length of its latus rectum be $6 \sqrt{2}$, If $y= 2 \mathrm{x}+\mathrm{c}$ is a tangent to the hyperbola H , then the value of $\mathrm{c}^2$ is equal to

Select the correct option:

A

18

B

20

C

24

D

32

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