Find a Polar Equation of the Conic with Its Focus $\quad$

question 263

Multiple Choice

Find a polar equation of the conic with its focus at the pole.
Conics $\quad$$\quad$ Eccentricity $\quad$$\quad$ Directrix
Ellipse $\quad\quad\quad e = 2\quad\quad\quad x = 1$

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