JEE Advanced 2014 Paper 2 Mathematics Q12

Mathematics

Problem

Paragraph for Questions 11 and 12 Let a,r,s,ta,r,s,t be nonzero real numbers. Let P(at2,2at)P(at^2,2at), QQ, R(ar2,2ar)R(ar^2,2ar) and S(as2,2as)S(as^2,2as) be distinct points on the parabola y2=4axy^2=4ax. Suppose that PQPQ is a focal chord and lines QRQR and PKPK are parallel, where KK is the point (2a,0)(2a,0). If st=1st=1, then the tangent at PP and the normal at SS to the parabola meet at a point whose ordinate is

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