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

question 183

Multiple Choice

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

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

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