Determine the Eccentricity, the Type of Conic, and the Directrix $$r = \frac { 7 } { 9 - 6 \cos \theta }$$

Multiple Choice

Determine the eccentricity, the type of conic, and the directrix.
- $$r = \frac { 7 } { 9 - 6 \cos \theta }$$

A) Eccentricity $= \frac { 2 } { 3 }$ ; ellipse; directrix $x = - \frac { 7 } { 6 }$
B) Eccentricity $= \frac { 2 } { 3 } ;$ hyperbola; directrix $x = - \frac { 21 } { 2 }$
C) Eccentricity $= \frac { 3 } { 2 }$ ; ellipse; directrix $x = - \frac { 7 } { 6 }$
D) Eccentricity $= \frac { 6 } { 7 }$ ; hyperbola; directrix $y = - \frac { 14 } { 3 }$