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Find the Center, Foci, and Vertices of the Ellipse 4x2+64y2=2564 x ^ { 2 } + 64 y ^ { 2 } = 256

Question 15

Multiple Choice

Find the center, foci, and vertices of the ellipse.
- 4x2+64y2=2564 x ^ { 2 } + 64 y ^ { 2 } = 256


A) center at (0,0) ( 0,0 )
foci at (0,2) ( 0 , - 2 ) and (0,2) ( 0,2 )
vertices at (0,4) ,(0,4) ( 0 , - 4 ) , ( 0,4 )

B) center at (0,0) ( 0,0 )
foci at (0,215) ( 0 , - 2 \sqrt { 15 } ) and (0,215) ( 0,2 \sqrt { 15 } )
vertices at (0,8) ,(0,8) ( 0 , - 8 ) , ( 0,8 )

C) center at (0,0) ( 0,0 )
foci at (215,0) ( - 2 \sqrt { 15 } , 0 ) and (215,0) ( 2 \sqrt { 15 } , 0 )
vertices at (8,0) ,(8,0) ( - 8,0 ) , ( 8,0 )

D) center at (0,0) ( 0,0 )
foci at (8,0) ( - 8,0 ) and (8,0) ( 8,0 )
vertices at (64,0) ,(64,0) ( - 64,0 ) , ( 64,0 )

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