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JEE Main 2026 Mathematics question

MathematicsParabolaJEE Main 2026

Let O be the vertex of the parabola y² = 4x and its chords OP and OQ are perpendicular to each other. If the locus of the mid-point of the line segment PQ is a conic C, then the length of its latus rectum is:

Answer: (B)

Solution

Let P=(t₁²,2t₁), Q=(t₂²,2t₂). OP⊥OQ gives t₁t₂=−4. The midpoint (h,k) satisfies

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Question ID VK-015720