Write a Polar Equation of the Conic That Has a Focus

question 25

Multiple Choice

Write a polar equation of the conic that has a focus at the origin, eccentricity $\frac { 3 } { 2 }$ , and directrix $x = - 6$ . Identify the conic.

• A) \(r = \frac { 18 } { 2 - 3 \sin \theta }\) , hyperbola
• B) \(r = \frac { 18 } { 2 - 3 \cos \theta }\) , hyperbola
• C) \(r = \frac { 18 } { 2 - \cos \theta }\) , ellipse
• D) \(r = \frac { 18 } { 2 - \sin \theta }\) , ellipse

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