The Eccentricity Is Given of a Conic Section with One $$e = \frac { 1 } { 4 } , x = 2$$

question 345

Multiple Choice

The eccentricity is given of a conic section with one focus at the origin, along with the directrix corresponding to that focus. Find a polar equation for the conic section.
- $$e = \frac { 1 } { 4 } , x = 2$$

• A) \(r = \frac { 2 } { 4 + \cos \theta }\)
• B) \(r = \frac { 2 } { 4 + \sin \theta }\)
• C) \(r = \frac { 2 } { 1 + 4 \cos \theta }\)
• D) \(r = \frac { 2 } { 4 - \cos \theta }\)

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