JEE Advanced 2016 Paper 1 Mathematics Q13

Mathematics

Problem

Let RSRS be the diameter of the circle x2+y2=1x^2+y^2=1, where SS is the point (1,0)(1,0). Let PP be a variable point (other than RR and SS) on the circle and tangents to the circle at SS and PP meet at the point QQ. The normal to the circle at PP intersects a line drawn through QQ parallel to RSRS at point EE. Then the locus of EE passes through the point(s)

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