Let a,s,t be nonzero real numbers. Let P(at2,2at), and S(as2,2as) be d – InterviewSolution

1.	Let a,s,t be nonzero real numbers. Let P(at2,2at), and S(as2,2as) be distinct points on the parabola y2=4ax. If st=1, then the tangent at P and the normal at S to the parabola meet at a point whose ordinate is
Answer» Let $a, s, t$ be nonzero real numbers. Let $P (a t^{2}, 2 a t), and S (a s^{2}, 2 a s)$ be distinct points on the parabola $y^{2} = 4 a x$ . If $s t = 1$ , then the tangent at $P$ and the normal at $S$ to the parabola meet at a point whose ordinate is

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