Select the Polar Equation of the Conic for E = $r = \frac { 2 e } { 1 + e \cos \theta }$

Select the polar equation of the conic for e = 1.0 and identify the conic for the following equation. $r = \frac { 2 e } { 1 + e \cos \theta }$

A) $r = \frac { 2 } { 1 + \cos \theta } \Rightarrow \text { hyperbola }$
B) $r = \frac { 2 } { 1 + \cos \theta } \Rightarrow \text { parabola }$
C) $r = \frac { 1 } { 1 + \cos \theta } \Rightarrow \text { hyperbola }$
D) $r = \frac { 2 } { 1 - \cos \theta } \Rightarrow \text { parabola }$
E) $r = \frac { 1 } { 1 - \cos \theta } \Rightarrow \text { hyperbola }$