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Identify the Conic That the Polar Equation Represents r=563sinθr = \frac { 5 } { 6 - 3 \sin \theta }

Question 130

Multiple Choice

Identify the conic that the polar equation represents. Also, give the position of the directrix.
- r=563sinθr = \frac { 5 } { 6 - 3 \sin \theta }


A) ellipse, directrix perpendicular to the polar axis 53\frac { 5 } { 3 } right of the pole
B) ellipse, directrix parallel to the polar axis 53\frac { 5 } { 3 } above the pole
C) ellipse, directrix parallel to the polar axis 53\frac { 5 } { 3 } below the pole
D) ellipse, directrix perpendicular to the polar axis 53\frac { 5 } { 3 } left of the pole

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