Jee Advanced
Inverse Trigonometric Functions
IIT-JEE 2007 Paper 2 Offline
Let \((x,y)\) be such that \({\sin ^{ - 1}}(ax) + {\cos ^{ - 1}}(y) + {\cos ^{ - 1}}(bxy) = {\pi \over 2}\).
Match the statements in Column I with the statements in Column II.
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| Column I | Column II | ||
|---|---|---|---|
| (A) | If \(a=1\) and \(b=0\), then \((x,y)\) | (P) | lies on the circle \(x^2+y^2=1\) |
| (B) | If \(a=1\) and \(b=1\), then \((x,y)\) | (Q) | lies on \((x^2-1)(y^2-1)=0\) |
| (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 \((4x^2-1)(y^2-1)=0\) |