Find a Polar Equation of the Conic with the Given

question 76

Multiple Choice

Find a polar equation of the conic with the given characteristics and with one focus at the pole.
$\begin{array} { l c c } \text { Conic } & \text { Eccentricity } & \text { Directrix } \\ \text { Ellipse } & e = \frac { 1 } { 2 } & y = 5 \end{array}$

• A) \(r = \frac { 1 } { 2 + \cos \theta }\)
• B) \(r = \frac { 5 } { 2 + \cos \theta }\)
• C) \(r = \frac { 5 } { 2 - \cos \theta }\)
• D) \(r = \frac { 5 } { 2 - \sin \theta }\)
• E) \(r = \frac { 5 } { 2 + \sin \theta }\)

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