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 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):}`

Answer

A-p;B-q;C-p;D-s