Graph the Ellipse $4 x ^ { 2 } + 25 y ^ { 2 } - 250 y + 525 = 0$

Multiple Choice

Graph the ellipse. Specify the lengths of the major and minor axes, the foci, the center and the eccentricity. $4 x ^ { 2 } + 25 y ^ { 2 } - 250 y + 525 = 0$

A) center: (0, 5) ;
Degenerate ellipse
B) center: (1, $\frac { 3 } { 2 }$ ) ;
Degenerate ellipse
C) center: (5,0) ;
Length of major axis: 10;
Length of minor axis: 4;
Foci: $( 5 , \pm \sqrt { 21 } )$ ;
Eccentricity: $\frac { \sqrt { 21 } } { 5 }$
D) center: (0, 5) ;
Length of major axis: 10;
Length of minor axis: 4;
Foci: $( 0,5 \pm \sqrt { 21 } )$ ;
Eccentricity: $\frac { \sqrt { 21 } } { 5 }$
E) center: (0, 5) ;
Length of major axis: 10;
Length of minor axis: 4;
Foci: $( \pm \sqrt { 21 } , 5 )$ ;
Eccentricity: $\frac { \sqrt { 21 } } { 5 }$