JEE Main 2025 Mathematics question

MathematicsParabolaJEE Main 2025

Let the parabola and S be its focus. Let PQ be a focal chord of the parabola such that . Let C be the circle described taking PQ as a diameter. If the equation of a circle C is , then is equal to .

Answer: 1328

Solution

With , using product of distances from directrix, solving gives . Taking :

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Question ID VK-002367