Find a Polar Equation for the Ellipse with Its Focus $e = \frac { 5 } { 6 } , \text { and }$

Multiple Choice

Find a polar equation for the ellipse with its focus at the pole, eccentricity $e = \frac { 5 } { 6 } , \text { and }$ directrix $y = - 10$ .

A) $r = \frac { - 50 } { 6 + 5 \sin \theta }$
B) $r = \frac { - 50 } { 6 - 5 \cos \theta }$
C) $r = \frac { 50 } { 6 - 5 \sin \theta }$
D) $r = \frac { - 50 } { 6 + 5 \cos \theta }$
E) $r = \frac { 50 } { 6 - 5 \cos \theta }$