Let (x,y)∈Q1,2x≤y be such thatsin−1(ax)+cos−1(y)+cos−1(bxy)=π2.Match the statements in Column I with the locus in Column II.Column IColumn II(A)If a=1 and b=0, then (x,y)(p)lies on part of the circle x2+y2=1(B)If a=1 and b=1, then (x,y)(q)lies on part of the curve represented by (x2−1)(y2−1)=0(C)If a=1 and b=2, then (x,y)(r)lies on part of the line y=x(D)If a=2 and b=2, then (x,y)(s)lies on part of the curve represented by (4x2−1)(y2−1)=0

Let (x,y)∈Q1,2x≤y be such thatsin−1(ax)+cos−1(y)+cos−1(bxy)=

1.	Let (x,y)∈Q1,2x≤y be such thatsin−1(ax)+cos−1(y)+cos−1(bxy)=π2.Match the statements in Column I with the locus in Column II.Column IColumn II(A)If a=1 and b=0, then (x,y)(p)lies on part of the circle x2+y2=1(B)If a=1 and b=1, then (x,y)(q)lies on part of the curve represented by (x2−1)(y2−1)=0(C)If a=1 and b=2, then (x,y)(r)lies on part of the line y=x(D)If a=2 and b=2, then (x,y)(s)lies on part of the curve represented by (4x2−1)(y2−1)=0
Answer» Let $(x, y) \in Q_{1}, 2 x \leq y$ be such that ${sin}^{- 1} (a x) + {cos}^{- 1} (y) + {cos}^{- 1} (b x y) = \frac{π}{2} .$ Match the statements in Column I with the locus in Column II. $\begin{matrix} Column I & Column II (A) & If a = 1 and b = 0, then (x, y) & (p) & lies on part of the circle x^{2} + y^{2} = 1 (B) & If a = 1 and b = 1, then (x, y) & (q) & lies on part of the curve represented by (x^{2} - 1) (y^{2} - 1) = 0 (C) & If a = 1 and b = 2, then (x, y) & (r) & lies on part of the line y = x (D) & If a = 2 and b = 2, then (x, y) & (s) & lies on part of the curve represented by (4 x^{2} - 1) (y^{2} - 1) = 0 \end{matrix}$