Find a Polar Equation for the Hyperbola with Its Focus $( 20,0 ) , ( 100,0 )$

Find a polar equation for the hyperbola with its focus at the pole and vertices $( 20,0 ) , ( 100,0 )$

A) $r = \frac { 100 } { 2 + 3 \cos \theta }$
B) $r = \frac { 60 } { 3 + 5 \cos \theta }$
C) $r = \frac { 50 } { 3 + 5 \cos \theta }$
D) $r = \frac { 100 } { 3 + 5 \cos \theta }$
E) $r = \frac { 50 } { 2 + 3 \cos \theta }$