Identify the Conic That the Polar Equation Represents $$r = \frac { 6 } { 3 - 4 \cos \theta }$$

question 57

Multiple Choice

Identify the conic that the polar equation represents. Also, give the position of the directrix.
- $$r = \frac { 6 } { 3 - 4 \cos \theta }$$

• A) ellipse, directrix is perpendicular to the polar axis at a distance \(\frac { 3 } { 2 }\) units to the right of the pole
• B) hyperbola, directrix is perpendicular to the polar axis at a distance 3 units to the right of the pole
• C) hyperbola, directrix is perpendicular to the polar axis at a distance \(\frac { 3 } { 2 }\) units to the left of the pole
• D) ellipse, directrix is perpendicular to the polar axis at a distance 3 units to the left of the pole

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