Let the circles C1 : x2 + y2 = 9 and C2 : (x – 3)2 + (y – 4)2 = 16, intersect at the points X and Y. Suppose that another circle C3 : (x – h)2 + (y – k)2 = r2 satisfies the following conditions:
(i) centre of C3 is collinear with the centres of C1 and C2,
(ii) C1 and C2 both lie inside C3, and
(iii) C3 touches C1 at M and C2 at N.
Let the line through X and Y intersect C3 at Z and W, and let a common tangent of C1 and C3 be a tangent to the parabola x2 = 8αy.
There are some expressions given in the List-I whose values are given in List-II below :
Which of the following is the only INCORRECT combination?
(A) (III), (R)
(B) (IV), (U)
(C) (IV), (S)
(D) (I), (P)
