The Letters R and θ Represent Polar Coordinates $$\mathrm { r } = 2 ( \sin \theta - \cos \theta )$$

Multiple Choice

The letters r and θ represent polar coordinates. Write the equation using rectangular coordinates (x, y) .
- $$\mathrm { r } = 2 ( \sin \theta - \cos \theta )$$

A) $x ^ { 2 } + y ^ { 2 } = 2 y - 2 x$
B) $x ^ { 2 } + y ^ { 2 } = 2 x - 2 y$
C) $2 x ^ { 2 } + 2 y ^ { 2 } = y - x$
D) $2 x ^ { 2 } + 2 y ^ { 2 } = x - y$