`x ^(2) +y ^(2) =a ^(2)` is the standard equation of a circle centred at `(0,0)` and radius is a.
Paramatric Equation to Standard Circle:
Parametric Equation for the circle `x^(2) +y ^(2) =a ^(2) ` is `x =a cos theta, y =a sin theta.`
Director Circle:
Director circle is the locus of point of intersection of two perpendicular tangents.
A ray of light which comes from `(-3,1)` travels along a line L and after reflection from the circle `x ^(2) +y ^(2) =a ^(2),` reficated ray moves along the same line L, then the equation of line L is

Options

A. `y =-x +1`
B. `y =-x`
C. `x =-2y`
D. none of these

Answer

D