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JEE Main 2022 Mathematics question

MathematicsParabolaJEE Main 2022

A particle is moving in the xy-plane along a curve C passing through the point (3, 3). The tangent to the curve C at the point P meets the x-axis at Q. If the y-axis bisects the segment PQ, then C is a parabola with

Answer: (1)

Solution

Let P(x, y). The tangent at P meets the x-axis at Q(x − y/(dy/dx), 0), and the y-axis bisects PQ, so , i.e.

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Question ID VK-024227