The Rectangular Equation of the Conic Section $r = \frac { 2 } { 4 - 3 \cos \theta }$

Multiple Choice

The rectangular equation of the conic section $r = \frac { 2 } { 4 - 3 \cos \theta }$ is

A) $7 x ^ { 2 } + 16 y ^ { 2 } - 12 x = 4$
B) $16 x ^ { 2 } + 7 y ^ { 2 } + 12 y = 9$
C) $16 x ^ { 2 } + 7 y ^ { 2 } - 12 x = 9$
D) $7 x ^ { 2 } + 16 y ^ { 2 } - 12 y = 4$
E) $7 y ^ { 2 } - 2 y = 4$