Identify the Vertices and Co-Vertices of the Ellipse $25 x ^ { 2 } + 16 y ^ { 2 } - 9 = 0$

Multiple Choice

Identify the vertices and co-vertices of the ellipse $25 x ^ { 2 } + 16 y ^ { 2 } - 9 = 0$ .

A) vertices: $\left( 0 , - \frac { 3 } { 4 } \right) , \left( 0 , \frac { 3 } { 4 } \right)$ co-vertices: $\left( - \frac { 3 } { 5 } , 0 \right) , \left( \frac { 3 } { 5 } , 0 \right)$
B) vertices: $\left( - \frac { 5 } { 3 } , 0 \right) , \left( \frac { 5 } { 3 } , 0 \right)$ co-vertices: $\left( 0 , - \frac { 4 } { 3 } \right) , \left( 0 , \frac { 4 } { 3 } \right)$
C) vertices: $\left( 0 , - \frac { 4 } { 3 } \right) , \left( 0 , \frac { 4 } { 3 } \right)$ co-vertices: $\left( - \frac { 5 } { 3 } , 0 \right) , \left( \frac { 5 } { 3 } , 0 \right)$
D) vertices: $( - 5,0 ) , ( 5,0 )$ co-vertices: $( 0 , - 4 ) , ( 0,4 )$
E) vertices: $( 0 , - 4 ) , ( 0,4 )$ co-vertices: $( - 5,0 ) , ( 5,0 )$