Let one focus of the hyperbola H : x^2 a^2 - y^2 b^2 = 1 be at ( 10 , 0) and the corresponding directrix be x...

Question

Let one focus of the hyperbola H : x^2 a^2 - y^2 b^2 = 1 be at ( 10 , 0) and the corresponding directrix be x = 9 10 . If e and l respectively are the eccentricity and the length of the latus rectum of H, then 9(e^2 + l) is equal to :

Accepted Answer

(4)

JEE Main 2025 Mathematics question

Solution