class 11

Math

Co-ordinate Geometry

Conic Sections

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 $RandS$) on the circle and tangents to the circle at $SandP$ 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) $(31 ,3 1 )$ (B) $(41 ,21 )$ (C) $(31 ,−3 1 )$ (D) $(41 ,−21 )$