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

question 17

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: \(\frac { \sqrt { 21 } } { 5 }\)

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