Let one focus of the hyperbola {\H}: \frac{x^2}{a^2}-\frac{y^2}{b^2}=1 be at ( \sqrt{10}, 0 ) and the corresponding directrix be x= {9}/{\sqrt{10}}. If e and \/ respectively are the eccentricity and the length of the latus rectum of H , then 9 (e^2+1) is equal to [2 Apr 2025 Shift 1]

JEE Main 2 Apr 2025 Shift 1 Paper

Section: Mathematics

Question : 18 of 75

Marks: +1, -0

Let one focus of the hyperbola H:‌

−‌

=1 be at ( √10,0 ) and the corresponding directrix be x=‌

√10

. If e and ∕ respectively are the eccentricity and the length of the latus rectum of H , then 9(e2+1) is equal to

[2 Apr 2025 Shift 1]

Go to Question:

Prev Question

Next Question