Find the Equation of the Hyperbola with Center $( 2,1 ) , a = 5$

Multiple Choice

Find the equation of the hyperbola with center $( 2,1 ) , a = 5$ and $b = 2$ . Transverse axis is horizontal.

A) $\quad \frac { ( x - 3 ) ^ { 2 } } { 23 } - \frac { ( y - 1 ) ^ { 2 } } { 4 } = 1$
B) $\quad \frac { ( x - 2 ) ^ { 2 } } { 25 } - \frac { ( y - 1 ) ^ { 2 } } { 4 } = 1$
C) $\quad \frac { ( x + 2 ) ^ { 2 } } { 25 } - \frac { ( y + 1 ) ^ { 2 } } { 4 } = 1$
D) $\quad \frac { ( x - 2 ) ^ { 2 } } { 25 } + \frac { ( y - 1 ) ^ { 2 } } { 4 } = 1$
E) none of these