The Eccentricity Is Given of a Conic Section with One $r = \frac { 45 } { 1 + 5 \cos \theta }$

Multiple Choice

The eccentricity is given of a conic section with one focus at the origin, along with the directrix corresponding to that focus. Find a polar equation for the conic section.
-e = 5, y = 9

A) $r = \frac { 45 } { 1 + 5 \cos \theta }$
B) $r = \frac { 45 } { 1 - 5 \sin \theta }$
C) $r = \frac { 45 } { 1 + 5 \sin \theta }$
D) $r = \frac { 45 } { 1 + 9 \sin \theta }$