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

question 142

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 \(y = - \frac { 14 } { 3 }\)

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