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]

Hyperbola

Section: Mathematics

Question : 14 of 92

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]

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