Let RS be the diameter of the circle $x^2+y^2=1,$ where S is the point $\left(1,0\right)$ Let P be a variable apoint (other than $R\text{and}S$) on the circle and tangents to the circle at $S\text{and}P$ 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) $\left(\frac{1}{3},\frac{1}{\sqrt{3}}\right)$ (B) $\left(\frac{1}{4},\frac{1}{2}\right)$ (C) $\left(\frac{1}{3},-\frac{1}{\sqrt{3}}\right)$ (D) $\left(\frac{1}{4},-\frac{1}{2}\right)$

Views: 945 students