Find the Standard-Form Equation for a Hyperbola Which Satisfies the Given

question 273

Multiple Choice

Find the standard-form equation for a hyperbola which satisfies the given conditions.
-A hyperbola centered at the origin having focus at $( 9,0 )$ and eccentricity equal to $\frac { 3 } { 2 }$

• A) \(\frac { y ^ { 2 } } { 36 } + \frac { x ^ { 2 } } { 45 } = 1\)
• B) \(\frac { x ^ { 2 } } { 36 } - \frac { y ^ { 2 } } { 45 } = 1\)
• C) \(\frac { y ^ { 2 } } { 36 } - \frac { x ^ { 2 } } { 45 } = 1\)
• D) \(\frac { x ^ { 2 } } { 36 } + \frac { y ^ { 2 } } { 45 } = 1\)

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