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

Question 152

Multiple Choice

Write a polar equation in rr and θ\theta of an ellipse with the focus at the origin, with the eccentricity 67\frac { 6 } { 7 } and directrix x=13x = - 13 .


A)
r=7876cosθr = \frac { 78 } { 7 - 6 \cos \theta }
B)
r=137+6cosθr = \frac { 13 } { 7 + 6 \cos \theta }
C)
r=7816cosθr = \frac { 78 } { 1 - 6 \cos \theta }
D)
r=787+6cosθr = \frac { 78 } { 7 + 6 \cos \theta }
E)
r=636sinθr = \frac { 6 } { 3 - 6 \sin \theta }

Correct Answer:

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