Write a Polar Equation of the Conic That Has a Focus

question 8

Multiple Choice

Write a polar equation of the conic that has a focus at the origin, eccentricity $\frac { 7 } { 2 }$ , and directrix $y = - 7$ . Identify the conic.

• A)
• \(r = \frac { 49 } { 2 - 7 \cos \theta }\), hyperbola
• B)
• \(r = \frac { 49 } { 2 - 7 \sin \theta }\), hyperbola
• C) \(r = \frac { 49 } { 2 - \sin \theta }\), ellipse
• D) \(r = \frac { 49 } { 2 - \cos \theta }\), ellipse

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