Write a Polar Equation of a Hyperbola with Eccentricity $3$ And Directrix

question 89

Multiple Choice

Write a polar equation of a hyperbola with eccentricity $3$ and directrix $r = 2 \csc \theta$

• A) \(r= \frac { 3 } { 1 + 3 \cos \theta }\)
• B) \(r = \frac { 3 } { 1 - 3 \sin \theta }\)
• C) \(r = \frac { 2 } { 2 + 3 \cos }\)
• D) \(r = \frac { 6 } { 1 + 3 \sin \theta }\)
• E) \(r= \frac { 6 } { 1 - 3 \sin \theta }\)

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