Write a Polar Equation In $r$ And $\theta$ Of an Ellipse with the Focus at the Origin, with Ellipse

question 37

Multiple Choice

Write a polar equation in $r$ and $\theta$ of an ellipse with the focus at the origin, with the eccentricity $\frac { 6 } { 7 }$ and directrix $x = - 13$ .

• A) \(r = \frac { 78 } { 7 - 6 \cos \theta }\)
• B) \(r = \frac { 13 } { 7 + 6 \cos \theta }\)
• C)
• \(r = \frac { 78 } { 1 - 6 \cos \theta }\)
• D)
• \(r = \frac { 78 } { 7 + 6 \cos \theta }\)
• E)
• \[r = \frac { 6 } { 3 - 6 \sin \theta }\]

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