Find a Polar Equation for the Conic $\mathrm { e } = 5$

Multiple Choice

Find a polar equation for the conic. A focus is at the pole.
- $\mathrm { e } = 5$ ; directrix is perpendicular to the polar axis 3 to the right of the pole

A) $r = \frac { 15 } { 1 + 5 \cos \theta }$
B) $r = \frac { 15 } { 1 + 5 \sin \theta }$
C) $r = \frac { 15 } { 1 - 5 \sin \theta }$
D) $r = \frac { 15 } { 1 - 5 \cos \theta }$