Write a Polar Equation In $\mathrm { r }$ And $\theta$ Of a Hyperbola with the Focus at the Origin, with \theta

question 27

Multiple Choice

Write a polar equation in $\mathrm { r }$ and $\theta$ of a hyperbola with the focus at the origin, with the eccentricity 7 and directrix $r = - 12 \csc \theta$ .

• A) \(r = \frac { 84 } { 1 - 84 \sin \theta }\)
• B) \(r = \frac { 84 } { 1 - 7 \sin \theta }\)
• C) \(r = \frac { 84 } { 1 + 7 \sin \theta }\)
• D) \(r = \frac { 84 } { 1 - \sin \theta }\)
• E) \(r = \frac { 12 } { 1 + 12 \sin \theta }\)

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