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JEE Main 2026 Mathematics question

MathematicsParabolaJEE Main 2026

Let A, B and C be the vertices of a variable right angled triangle inscribed in the parabola y²=16x. Let the vertex B containing the right angle be (4,8) and the locus of the centroid of △ABC be a conic Cₒ. Then three times the length of the latus rectum of Cₒ is .

Answer: 16

Solution

Parametrising A, C by t₁, t₂ (with B at t=1) and using the perpendicularity condition, the centroid

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Question ID VK-015358