Find a Polar Equation of the Conic with Its Focus $e = \frac { 1 } { 2 }$

question 16

Multiple Choice

Find a polar equation of the conic with its focus at the pole. ​
Conics
Eccentrity
Directrix
Ellipse $e = \frac { 1 } { 2 }$ $y = - 3$ ​​

• A) \(r = \frac { 4 } { 2 - \sin \theta }\)
• B) \(r = \frac { 3 } { 2 - \sin \theta }\)
• C) \(r = \frac { 3 } { 2 - 4 \sin \theta }\)
• D) \(r = \frac { - 3 } { 2 - 4 \sin \theta }\)
• E) \(r = \frac { 3 } { 2 + \sin \theta }\)

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