Let  $\left(x,y\right)$ be such that ${\sin }^{-1}\left(ax\right)+{\cos }^{-1}\left(y\right)+{\cos }^{-1}\left(bxy\right)=\pi /2$ . Match the statements in column I which statements in column II.

	Column-I		Column-II
A)	If a=1 and b=0, then $\left(x,y\right)$	P)	lies on the circle $x^2+y^2=1$
B)	If a =1 and b=1 , then $\left(x,y\right)$	Q)	lies on $\left(x^2-1\right)\left(y^2-1\right)=0$
C)	If a=1 and b=2, then $\left(x,y\right)$	R)	lies on $y=x$
D)	If a=2 and b=2, then $\left(x,y\right)$	S)	lies on $\left(4x^2-1\right)\left(y^2-1\right)=0$