JEE Advanced 2016 Paper 2 Mathematics Q12

Mathematics

Problem

Let PP be the point on the parabola y2=4xy^2=4x which is at the shortest distance from the center SS of the circle x2+y2−4x−16y+64=0x^2+y^2-4x-16y+64=0. Let QQ be the point on the circle dividing the line segment SPSP internally. Then

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