Determine the Eccentricity, the Type of Conic, and the Directrix $$r = \frac { 3 } { 6 + 8 \cos \theta }$$

Determine the eccentricity, the type of conic, and the directrix.
- $$r = \frac { 3 } { 6 + 8 \cos \theta }$$

A) Eccentricity $= \frac { 4 } { 3 } ;$ parabola; directrix $x = - \frac { 9 } { 4 }$
B) Eccentricity $= \frac { 8 } { 3 } ;$ ellipse; directrix $y = - 4$
C) Eccentricity $= \frac { 3 } { 4 }$ ; ellipse; directrix $x = - 4$
D) Eccentricity $= \frac { 4 } { 3 } ;$ hyperbola; directrix $x = \frac { 3 } { 8 }$

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