Let A be the focus of the parabola y²=8x. Let the line y=mx+c int… | JEE Main 2026 Mathematics PYQ

MCQMediumJEE Main 2026 · 28 January, Shift 2Conic Sections (Parabola, Ellipse, Hyperbola)

Let $A$ be the focus of the parabola $y^2=8x$ . Let the line $y=mx+c$ intersect the parabola at two distinct points $B$ and $C$ . If the centroid of triangle $ABC$ is $\left(\frac{7}{3},\frac{4}{3}\right)$ , then $(BC)^2$ is equal to:

A
$41$
B
$89$
C
$32$
D
$80$

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