If from any point `P` on the circle `x^2+y^2+2gx+2fy+c=0`, tangents are drawn to the circle `x^2+y^2+2gx+2fy+csin^2 alpha+(g^2+f^2)cos^2 alpha=0`, then the angle between the tangents is :
(A) `alpha`
(B) `2 alpha`
(C) `alpha/2`
(D) `alpha/3`