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Mathematics · 2026

JEE Main · 28 January 2026, Shift 2 · Q13

Let A be the focus of the parabola y^2=8 x. Let the line y= m x+ c intersect the parabola at two distinct points B and C. If the centroid of the…

Let A be the focus of the parabola $\displaystyle y^2=8 x$. Let the line $\displaystyle y=\mathrm{m} x+\mathrm{c}$ intersect the parabola at two distinct points B and C. If the centroid of the triangle ABC is $\displaystyle \left(\frac{7}{3}, \frac{4}{3}\right)$, then $\displaystyle (\mathrm{BC})^2$ is equal to :
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JEE Main 2026 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.