Equation of Tangent in Parametric Form

Q.

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)

1. $(\frac{1}{3},\frac{1}{\sqrt{3}})$

2. $(\frac{1}{4},\frac{1}{2})$

3. $(\frac{1}{3},-\frac{1}{\sqrt{3}})$

4. $(\frac{1}{4},-\frac{1}{2})$