Let (x, y) be such that \sin^{-1}(ax)+\cos^{-1}(y)+\cos^{-1}(bxy) = \pi/2 Match the statements in Column I with statements in Column II: Column I Column II (A) If α = 1 and b = 0, then (x, y) (P) lies on the circle x^2 + y^2 = 1. (B) If α = 1 and b = 1, then (x, y) (Q) lies on (x^2 – 1)(y^2 – 1) = 0. (C) If α = 1 and b = 2, then (x, y) (R) lies on y = x. (D) If α = 2 and b = 2, then (x, y) (S) lies on (4x^2 – 1)(y^2 – 1) = 0. [JEE Adv 2007 P2]

Correct Answer is : (A)→(P); (B)→(Q); (C)→(P); (D)→(S)

(A)→(P); (B)→(Q); (C)→(P); (D)→(Q)

(A)→(P); (B)→(Q); (C)→(S); (D)→(S)

(A)→(Q); (B)→(Q); (C)→(P); (D)→(S)

(A)→(P); (B)→(Q); (C)→(P); (D)→(S)

IIT JEE Advanced 2007 Paper 2

Section: Mathematics

Question : 65 of 66

Marks: +1, -0

Let (x, y) be such that
sin−1(ax)+cos−1(y)+cos−1(bxy) =

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

[JEE Adv 2007 P2]

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