Let the sum of the focal distances of the point P(4, 3) on the hy… | JEE Main 2025 Mathematics PYQ

MCQMediumJEE Main 2025 · 4 April, Shift 2Conic Sections (Parabola, Ellipse, Hyperbola)

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

A
$184$
B
$186$
C
$185$
D
$187$

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