Find the Standard Form of the Equation of the Hyperbola $( 5 , \sqrt { 3 } )$

question 27

Multiple Choice

Find the standard form of the equation of the hyperbola with the given characteristics and center at the origin.
Vertices: (±3,0) ; passes through the point $( 5 , \sqrt { 3 } )$

• A) \(\frac { y ^ { 2 } } { 9 } - \frac { x ^ { 2 } } { 27 / 16 } = - 1\)
• B) \(\frac { x ^ { 2 } } { 27 / 16 } + \frac { y ^ { 2 } } { 9 } = 1\)
• C) \(\frac { x ^ { 2 } } { 9 } - \frac { y ^ { 2 } } { 27 / 16 } = 1\)
• D) \(\frac { x ^ { 2 } } { 27 / 16 } + \frac { y ^ { 2 } } { 9 } = - 1\)
• E) \(\frac { y ^ { 2 } } { 9 } + \frac { x ^ { 2 } } { 27 / 16 } = 1\)

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