Find the Eccentricity and Identify the Conic Given By $r= \frac { 7 } { 1 + 3 \sin \theta }$

Multiple Choice

Find the eccentricity and identify the conic given by $r= \frac { 7 } { 1 + 3 \sin \theta }$

A) $e = 3$
, hyperbola
B) $e = \frac { 3 } { 7 }$
, ellipse
C) $e = \frac { 7 } { 3 }$
, hyperbola
D) $e = 7$
, hyperbola
E) none of these