A straight line through a fixed point $( 2,3 )$ intersects the coordinate axes at distinct points $P$ and $Q$. If $O$ is the origin and the rectangle $O P R Q$ is completed, then the locus of $R$ is:\\
(1) $3 x + 2 y = 6 x y$\\
(2) $3 x + 2 y = 6$\\
(3) $2 x + 3 y = x y$\\
(4) $3 x + 2 y = x y$