Find a Polar Equation of the Conic with the Given $\begin{array} { c c c } \text { Conic } & \text { Eccentricity } & \text { Directrix } \\ \text { Hyperbola } & e = 5 & x = 2 \end{array}$

question 78

Multiple Choice

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

• A) \(r = \frac { 10 } { 1 - 5 \cos \theta }\)
• B) \(r = \frac { 10 } { 1 + 5 \cos \theta }\)
• C) \(r = \frac { 2 } { 1 + 5 \cos \theta }\)
• D) \(r = \frac { 10 } { 1 + 5 \sin \theta }\)
• E) \(r = \frac { 10 } { 1 - 5 \sin \theta }\)

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