Convert the Polar Equation to a Rectangular Equation $$r = \frac { 4 \sec \theta } { \sec \theta + 2 }$$

Multiple Choice

Convert the polar equation to a rectangular equation.
- $$r = \frac { 4 \sec \theta } { \sec \theta + 2 }$$

A) $3 x ^ { 2 } - y ^ { 2 } - 16 x + 16 = 0$
B) $3 y ^ { 2 } - x ^ { 2 } + 16 = 0$
C) $3 x ^ { 2 } - y ^ { 2 } + 16 = 0$
D) $3 y ^ { 2 } - x ^ { 2 } - 16 y + 16 = 0$