Use the Following Results the Polar Equation of the Ellipse $\frac { x ^ { 2 } } { a ^ { 2 } } + \frac { y ^ { 2 } } { b ^ { 2 } } = 1$

question 145

Multiple Choice

Use the following results the polar equation of the ellipse $\frac { x ^ { 2 } } { a ^ { 2 } } + \frac { y ^ { 2 } } { b ^ { 2 } } = 1$ is $r ^ { 2 } = \frac { b ^ { 2 } } { 1 - e ^ { 2 } \cos ^ { 2 } \theta }$ to write the polar form of the equation of the conic $\frac { x ^ { 2 } } { 25 } + \frac { y ^ { 2 } } { 16 } = 1$ .

• A) \(r ^ { 2 } = \frac { 25 } { 25 - 9 \cos ^ { 2 } \theta }\)
• B) \(r ^ { 2 } = \frac { 400 } { 25 - 9 \cos ^ { 2 } \theta }\)
• C) \(r ^ { 2 } = \frac { 400 } { 25 + 9 \cos ^ { 2 } \theta }\)
• D) \(r ^ { 2 } = \frac { 400 } { 9 + 25 \cos ^ { 2 } \theta }\)
• E) \(r ^ { 2 } = \frac { 400 } { 9 - 25 \cos ^ { 2 } \theta }\)

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