Select the Polar Equation of the Conic for ​E = $r = \frac { 2 e } { 1 - e \sin \theta }$

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

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