Let a,r,s and t be non-zero real numbers. Let P(at2,2at),Q,R(ar2,2ar) and S(as2,2as) be distinct points on the parabola y2=4ax. Suppose that PQ is the focal chord and lines QR and PK are parallel, where K is point (2a,0).If st=1, then the tangent at P and the normal at S to the parabola meet at a point whose ordinate is

Let a,r,s and t be non-zero real numbers. Let P(at2,2at),Q,R(ar2,2ar)

1.	Let a,r,s and t be non-zero real numbers. Let P(at2,2at),Q,R(ar2,2ar) and S(as2,2as) be distinct points on the parabola y2=4ax. Suppose that PQ is the focal chord and lines QR and PK are parallel, where K is point (2a,0).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 $a, r, s$ and $t$ be non-zero real numbers. Let $P (a t^{2}, 2 a t), Q, R (a r^{2}, 2 a r)$ and $S (a s^{2}, 2 a s)$ be distinct points on the parabola $y^{2} = 4 a x$ . Suppose that $P Q$ is the focal chord and lines $Q R$ and $P K$ are parallel, where $K$ is point $(2 a, 0)$ . If $s t = 1$ , then the tangent at $P$ and the normal at $S$ to the parabola meet at a point whose ordinate is