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

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) $\frac { y ^ { 2 } } { 9 } + \frac { x ^ { 2 } } { 27 / 16 } = 1$