JEE Advanced 2023 Paper 1 Mathematics Q7

Mathematics

Problem

Let P be a point on the parabola y²=4ax, where a>0. The normal to the parabola at P meets the x-axis at Q. The area of triangle PFQ, where F is the focus, is 120. If the slope m of the normal and a are both positive integers, then the pair (a,m) is

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