Let the point P of the focal chord PQ of the parabola y² = 16x be… | JEE Main 2025 Mathematics PYQ

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

Let the point $P$ of the focal chord $PQ$ of the parabola $y^2 = 16x$ be $(1, -4)$ . If the focus of the parabola divides the chord $PQ$ in the ratio $m : n$ , $\gcd(m, n) = 1$ , then $m^2 + n^2$ is equal to:

A
$17$
B
$10$
C
$37$
D
$26$

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