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JEE Advanced 2016 Paper 1 Mathematics Question 49

Let RS be the diameter of the circle \(x^2 + y^2 = 1\), where S is the point \((1,0)\). Let P be a variable point (other than R and S) on the circle and tangents to the circle at S and P meet at the point Q. The normal to the circle at P intersects a line drawn through Q parallel to RS at point E. Then the locus of E passes through the point(s)

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