Find a Polar Equation of the Conic with the Given $\begin{array}{lcc}\text { Conic } & \text { Eccentricity } & \text { Directrix } \\\text { Ellipse } & e=\frac{2}{5} & y=2\end{array}$

Multiple Choice

Find a polar equation of the conic with the given characteristics and with one focus at the pole.
$\begin{array}{lcc}\text { Conic } & \text { Eccentricity } & \text { Directrix } \\\text { Ellipse } & e=\frac{2}{5} & y=2\end{array}$

Ellipse $e = \frac { 2 } { 5 }$ $y = 2$

A) $r = \frac { 2 } { 5 + 2 \cos \theta }$
B) $r = \frac { 4 } { 5 + 2 \cos \theta }$
C) $r = \frac { 4 } { 5 - 2 \cos \theta }$
D) $r = \frac { 4 } { 5 - 2 \sin \theta }$
E) $r = \frac { 4 } { 5 + 2 \sin \theta }$