Let A be the focus of the parabola Let the line y=mx+c intersect the parabola at two distinct points B and C. If the centroid of the triangle ABC is , then is equa

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Solution

Q.
Let A be the focus of the parabola $y^{2} = 8 x .$ Let the line y=mx+c intersect the parabola at two distinct points B and C. If the centroid of the triangle ABC is $(\frac{7}{3}, \frac{4}{3})$ , then ${(B C)}^{2}$ is equal to : [2026]

1 41

2 32

3 80

4 89

Ans.
(3)

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