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Let RS be the diameter of the circle x^2...

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 apoint (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)- (A) `(1/3,1/sqrt3)` (B) `(1/4,1/2)` (C) `(1/3,-1/sqrt3)` (D) `(1/4,-1/2)`

A

`((1)/(3),(1)/(sqrt3))`

B

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

C

`((1)/(3),-(1)/(sqrt3))`

D

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

Text Solution

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The correct Answer is:
A, C
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