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Find the Center, Foci, and Vertices of the Ellipse x24+y216=1\frac { x ^ { 2 } } { 4 } + \frac { y ^ { 2 } } { 16 } = 1

Question 42

Multiple Choice

Find the center, foci, and vertices of the ellipse.
- x24+y216=1\frac { x ^ { 2 } } { 4 } + \frac { y ^ { 2 } } { 16 } = 1


A) center at (0,0) ( 0,0 )
foci at (23,0) ( - 2 \sqrt { 3 } , 0 ) and (23,0) ( 2 \sqrt { 3 } , 0 )
vertices at (4,0) ,(4,0) ( - 4,0 ) , ( 4,0 )
B) center at (0,0) ( 0,0 )
foci at (0,4) ( 0,4 ) and (2,0) ( 2,0 )
vertices at (0,16) ,(4,0) ( 0,16 ) , ( 4,0 )
C) center at (0,0) ( 0,0 )
foci at (0,4) ( 0 , - 4 ) and (0,4) ( 0,4 )
vertices at (0,16) ,(0,16) ( 0 , - 16 ) , ( 0,16 )
D) center at (0,0) ( 0,0 )
foci at (0,23) ( 0 , - 2 \sqrt { 3 } ) and (0,23) ( 0,2 \sqrt { 3 } )
vertices at (0,4) ,(0,4) ( 0 , - 4 ) , ( 0,4 )

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