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Let a, r, s, t be nonzero real numbers. Let $$P(at^2 , 2at), Q, R(ar^2 , 2ar)$$ and $$S(as^2 , 2as)$$ be distinct points on the parabola $$y^2 = 4ax$$. Suppose that PQ is the focal chord and lines QR and PK are parallel, where K is the point (2a, 0).
Question 52
If st = 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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