## Monday, October 22, 2007

### CH. 14 INVERSE OF TRIGONOMETRIC FUNCTIONS

JEE SYLLABUS

inverse trigonometric functions (principal value only).
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JEE 2007 Paper II

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 and indicate your answer by darkening the appropriate bubbles in the 4 × 4 matrix given in the ORS.

Column I --------------------- Column II
(A) If a = 1 and b = 0,------(p) lies on the circle
then (x, y)----------------- x² + y² = 1
===================================================
(B) If a = 1 and b = 1, ----(q) lies on
then (x, y)----------------- ( x²-1)(y²-1) =0
===================================================
(C) If a = 1 and b = 2,-----(r) lies on y = x
then (x, y)
===================================================

(D) If a = 2 and b = 2,-----(s) lies on
then (x, y)------------------ (4x²-1)(y²-1) = 0 ===================================================
Solution

(A) : (p)
(B) : (q)
(C) : (p)
(D) : (s)
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