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

Question 78

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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