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

question 120

Multiple Choice

Use the following results the polar equation of the hyperbolla $\frac { x ^ { 2 } } { a ^ { 2 } } - \frac { y ^ { 2 } } { b ^ { 2 } } = 1$ is $r ^ { 2 } = \frac { - b ^ { 2 } } { 1 - e ^ { 2 } \cos ^ { 2 } \theta }$ to write the polar form of the equation of the conic $\frac { x ^ { 2 } } { 16 } - \frac { y ^ { 2 } } { 9 } = 1$ .

• A) \(r ^ { 2 } = \frac { 144 } { 16 \cos ^ { 2 } \theta + 25 }\)
• B) \(r ^ { 2 } = \frac { 144 } { 25 \cos ^ { 2 } \theta - 16 }\)
• C) \(r ^ { 2 } = \frac { 144 } { 25 \cos ^ { 2 } \theta + 16 }\)
• D) \(r ^ { 2 } = \frac { - 144 } { 25 \cos ^ { 2 } \theta + 16 }\)
• E) \(r ^ { 2 } = \frac { 144 } { 16 - 25 \cos ^ { 2 } \theta }\)

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