# Let RS be the diameter of the circle x²+ y² = 1, where S is the point (1,0)

Let RS be the diameter of the circle x²+ y² = 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 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)-

- (1/3, 1/√3)
- (1/4, 1/2)
- (1/3, 1/√3)
- (1/4, 1/2)

**Answer: (a) (1/3, 1/√3)**

(c) (1/3, -1/√3)