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

question 103

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 \(\mathrm { y } = - 20\)

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