Find a Polar Equation for the Hyperbola with Its Focus $e = \frac { 7 } { 6 }$

question 25

Multiple Choice

Find a polar equation for the hyperbola with its focus at the pole, eccentricity $e = \frac { 7 } { 6 }$ and directrix $y = 7$ .

• A) \(r = \frac { 49 } { 6 + 7 \sin \theta }\)
• B) \(r = \frac { - 49 } { 6 + 7 \sin \theta }\)
• C) \(r = \frac { 49 } { 6 - 7 \cos \theta }\)
• D) \(r = \frac { - 49 } { 6 - 7 \cos \theta }\)
• E) \(r = \frac { - 49 } { 6 - 7 \sin \theta }\)

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