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 x+c is a tangent to the hyperbola {\H}, then the value of {\c}^2 is equal to [28-Jun-2022-Shift-1]

JEE Main 28 June 2022 Shift 1 Solved Paper

Section: Mathematics

Question : 13 of 90

Marks: +1, -0

Let the eccentricity of the hyperbola H:‌

−‌

=1 be √‌

and length of its latus rectum be 6√2. If y=2x+c is a tangent to the hyperbola H, then the value of c2 is equal to

[28-Jun-2022-Shift-1]

Go to Question:

Prev Question

Next Question