Mathematics

Mathematics

Problem

Let PP be a point on the parabola y2=4axy^2 = 4ax, where a>0a > 0. The normal to the parabola at PP meets the xx-axis at a point QQ. The area of the triangle PFQPFQ, where FF is the focus of the parabola, is 120. If the slope mm of the normal and aa are both positive integers, then the pair (a,m)(a, m) is (A) (2,3) (B) (1,3) (C) (2,4) (D) (3,4)

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