Parabola Centroid and Chord Length (Jee Mains)

Parabola

Medium

Parabola Centroid and Chord Length

Let A be the focus of the parabola y² = 8x. Let the line y = mx + c intersect the parabola at two distinct points B and C. If the centroid of the triangle ABC is $\left( {\frac{7}{3},\frac{4}{3}} \right)$ , then (BC)² is equal to :

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