Let R be the focus of the parabola y² = 20x and the line y = mx +… | JEE Main 2023 Mathematics PYQ

MCQMediumJEE Main 2023 · 8 April, Shift 1Conic Sections (Parabola, Ellipse, Hyperbola)

Let $R$ be the focus of the parabola $y^2 = 20x$ and the line $y = mx + c$ intersect the parabola at two points $P$ and $Q$ . Let the point $G(10, 10)$ be the centroid of the triangle $PQR$ . If $c - m = 6$ , then $(PQ)^2$ is:

A
$325$
B
$346$
C
$296$
D
$317$

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