Determine the Eccentricity, the Type of Conic, and the Directrix $$r = \frac { 5 } { 2 + 8 \sin \theta }$$

Multiple Choice

Determine the eccentricity, the type of conic, and the directrix.
- $$r = \frac { 5 } { 2 + 8 \sin \theta }$$

A) Eccentricity $= \frac { 8 } { 5 }$ ; ellipse; directrix $y = - 20$
B) Eccentricity $= 4$ ; ellipse; directrix $y = - \frac { 5 } { 4 }$
C) Eccentricity $= 4$ ; hyperbola; directrix $y = \frac { 5 } { 8 }$
D) Eccentricity $= \frac { 1 } { 4 } ;$ ellipse; directrix $\mathrm { y } = - 20$