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JEE Main 2026 Mathematics question

MathematicsParabolaJEE Main 2026

Let chord PQ of length 3√13 of the parabola y²=12x be such that the ordinates of points P and Q are in the ratio 1 : 2. If the chord PQ subtends an angle α at the focus of the parabola, then sinα is equal to:

Answer: (A)

Solution

With P(3t²,6t) and Q(3(2t)²,12t), PQ²=81t⁴+36t²=117 gives t²=1. Taking t=1:

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Question ID VK-015646