Find an Equation in X and Y for the Polar $r = \frac { 14 } { 12 + 4 \sin \theta }$

Multiple Choice

Find an equation in x and y for the polar equation. $r = \frac { 14 } { 12 + 4 \sin \theta }$

A) $127 x ^ { 2 } + 146 y ^ { 2 } - 110 x + 194 = 0$
B) $144 x ^ { 2 } + 128 y ^ { 2 } + 112 y - 196 = 0$
C) $146 x ^ { 2 } - 127 y ^ { 2 } + 110 y + 194 = 0$
D) $128 x ^ { 2 } + 144 y ^ { 2 } + 112 x - 196 = 0$
E) $128 x ^ { 2 } + 144 y ^ { 2 } + 112 y - 196 = 0$