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Let , RS be the diameter of the circle...

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 then 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 . The locus of E passes through the point (s)

A

`((1)/(3), (1)/(sqrt(3)))`

B

`((1)/(4), (1)/(2))`

C

`((1)/(3), -(1)/(sqrt(3)))`

D

`((1)/(4), -(1)/(2))`

Text Solution

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The correct Answer is:
A, C
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