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Identify the Conic That the Polar Equation Represents r=634cosθr = \frac { 6 } { 3 - 4 \cos \theta }

Question 12

Multiple Choice

Identify the conic that the polar equation represents. Also, give the position of the directrix.
- r=634cosθr = \frac { 6 } { 3 - 4 \cos \theta }


A) ellipse, directrix is perpendicular to the polar axis at a distance 32\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 32\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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