Let (x, y) be such that sin –1 (ax) + cos –1 (y) + cos –1 (bxy) =
Match the statement in Column I …

Question

Let (x, y) be such that sin –1 (ax) + cos –1 (y) + cos –1 (bxy) = 
Match the statement in Column I with statements in Column II.
Column-IColumn-II(i) If a = 1 and b = 0, then (x,y)[A] lies on the circle x2 + y2 = 1(ii) If a = 1 and b = 1, then (x, y)[B] lies on (x2 – 1)(y2 – 1) = 0(iii) If a = 1 and b = 2, then (x, y)[C] lies on y = x(iv) If a = 2 and b = 2, then (x, y)[D] lies on (4x2 – 1)(y2 – 1) = 0

CGP EDU Academic Team · Accepted Answer

The correct answer is CHECK THE SOLUTION.. (i) - [A]
(ii) - [B]
(iii) - [B]
(iv) - [D]
Sol. (i) lies on the circle x 2 + y 2 = 1
(ii) lies on (x 2 – 1) (y 2 – 1) = 0
(iii) lies on (x 2 – 1) (y 2 – 1) = 0
(iv) lies on (4x 2 – 1) (y 2 – 1) = 0

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Column-I	Column-II
(i) If a = 1 and b = 0, then (x,y)	[A] lies on the circle x2 + y2 = 1
(ii) If a = 1 and b = 1, then (x, y)	[B] lies on (x2 – 1) (y2 – 1) = 0
(iii) If a = 1 and b = 2, then (x, y)	[C] lies on y = x
(iv) If a = 2 and b = 2, then (x, y)	[D] lies on (4x2 – 1) (y2 – 1) = 0

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