Find the Vertices and Locate the Foci for the Hyperbola $25 \mathrm { y } ^ { 2 } - 9 \mathrm { x } ^ { 2 } = 225$

Multiple Choice

Find the vertices and locate the foci for the hyperbola whose equation is given.
- $25 \mathrm { y } ^ { 2 } - 9 \mathrm { x } ^ { 2 } = 225$

A) vertices: $( 0 , - 3 ) , ( 0,3 )$
foci: $( 0 , - \sqrt { 34 } ) , ( 0 , \sqrt { 34 } )$
B) vertices: $( - 3,0 ) , ( 3,0 )$
foci: $( - \sqrt { 34 } , 0 ) , ( \sqrt { 34 } , 0 )$
C) vertices: $( - 5,0 ) , ( 5,0 )$
foci: $( - 4,0 ) , ( 4,0 )$
D) vertices: $( 0 , - 5 ) , ( 0,5 )$
foci: $( 0 , - \sqrt { 34 } ) , ( 0 , \sqrt { 34 } )$