Write a Polar Equation in R And $\theta$ Of a Hyperbola with the Focus at the Origin, with Hyperbola

question 60

Multiple Choice

Write a polar equation in r and $\theta$ of a hyperbola with the focus at the origin, with the eccentricity $5$ and directrix $r = - 10 \csc \theta$ .

• A) \(r = \frac { 50 } { 1 - 5 \sin \theta }\)
• B) \(r = \frac { 50 } { 1 - 50 \sin \theta }\)
• C) \(r = \frac { 50 } { 1 - \sin \theta }\)
• D) \(r = \frac { 10 } { 1 + 10 \sin \theta }\)
• E) \(r = \frac { 50 } { 1 + 5 \sin \theta }\)

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