Replace the Cartesian Equation with an Equivalent Polar Equation $2 r ^ { 2 } \sin \theta \cos \theta = 1$

Multiple Choice

Replace the Cartesian equation with an equivalent polar equation.
-xy = 1

A) $2 r ^ { 2 } \sin \theta \cos \theta = 1$
B) $r ^ { 2 } \sin 2 \theta = 2$
C) $r \sin 2 \theta = 2$
D) $2 r \sin \theta \cos \theta = 1$