Question

Let (x, y) be such that sin^-1(ax) + cos^-1(y) +cos^-1(bxy) = π/2.

Match the statements in Column I with statements in Column II.

Column I	Column II
(A) If a = 1 and b = 0, then (x, y)	(P) lies on the circle x2 + y2 = 1
(B) If a = 1 and b = 1, then (x, y	(Q) lies on (x2 - 1)(y2 - 1) = 0
(C) If a = 1 and b = 2, then (x, y	(R) lies on y = x
(D) If a = 2 and b = 2, then (x, y)	(S) lies on (4x2 - 1)(y2 - 1) = 0

Answer 1

Correct option (A)→(P); (B)→(Q); (C)→(P); (D)→(S).

Explanation:

If a = 1 and b = 0, then

If a = 1 and b = 2, then