Let the sum of the focal distances of the point P(4, 3) on the hyperbola H: \frac{x^2}{a^2}-\frac{y^2}{b^2}=1 be \sqrt[8]{\frac{5}{3}}. If for H, the length of the latus rectum is I and the product of the focal distance of the point P is m, then 9 p^2+ 6 m is equal to: [4 Apr 2025 Shift 2]

Hyperbola

Section: Mathematics

Question : 11 of 92

Marks: +1, -0

Let the sum of the focal distances of the point P(4, 3) on the hyperbola H:‌

−‌

=1 be ‌8√‌

. If for H, the length of the latus rectum is I and the product of the focal distance of the point P is m, then 9p2+ 6 m is equal to:

[4 Apr 2025 Shift 2]

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