Find the Polar Equation of the Conic with Focus at the Pole

question 79

Multiple Choice

Find the polar equation of the conic with focus at the pole, having the given properties. Identify the conic.
-Directrix $y = - 9$ , eccentricity 3

• A) \(r = \frac { 9 } { 1 + 3 \sin \theta }\), hyperbola
• B) \(r = \frac { 3 } { 1 - 9 \sin \theta }\), hyperbola
• C) \(r = \frac { 27 } { 1 - 3 \sin \theta }\), hyperbola
• D) \(r = \frac { 9 } { 9 - \sin \theta }\), ellipse

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