Find the Center, Transverse Axis, Vertices, and Foci of the Hyperbola

Multiple Choice

Find the center, transverse axis, vertices, and foci of the hyperbola.
- $25 y ^ { 2 } - 36 x ^ { 2 } = 900$

A) center at $( 0,0 )$
transverse axis is $x$ -axis
vertices: $( - 5,0 ) , ( 5,0 )$
foci: $( - \sqrt { 61 } , 0 ) , ( \sqrt { 61 } , 0 )$
B) center at $( 0,0 )$
transverse axis is $\mathrm { y }$ -axis
vertices: $( 0 , - 6 ) , ( 0,6 )$
foci: $( - \sqrt { 61 } , 0 ) , ( \sqrt { 61 } , 0 )$
C) center at $( 0,0 )$
transverse axis is $x$ -axis
vertices: $( - 6,0 ) , ( 6,0 )$
foci: $( - 5,0 ) , ( 5,0 )$
D) center at $( 0,0 )$
transverse axis is $y$ -axis
vertices at $( 0 , - 6 )$ and $( 0,6 )$
foci at $( 0 , - \sqrt { 61 } )$ and $( 0 , \sqrt { 61 } )$