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Find the Center, Vertices, and Foci of the Ellipse with the Given

Question 128

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Find the center, vertices, and foci of the ellipse with the given equation.
- (x4) 264+(y2) 2100=1\frac { ( x - 4 ) ^ { 2 } } { 64 } + \frac { ( y - 2 ) ^ { 2 } } { 100 } = 1


A) Center: (4,2) ( 4,2 ) ; Vertices: (4,8) ,(4,12) ( 4 , - 8 ) , ( 4,12 ) ; Foci: (6,2) ,(10,2) ( - 6,2 ) , ( 10,2 )
B) Center: (4,2) ( 4,2 ) ; Vertices: (8,2) ,(12,2) ( - 8,2 ) , ( 12,2 ) ; Foci: (4,4) ,(8,4) ( - 4,4 ) , ( 8,4 )
C) Center: (4,2) ( 4,2 ) ; Vertices: (8,2) ,(12,2) ( - 8,2 ) , ( 12,2 ) ; Foci: (4,6) ,(4,10) ( 4 , - 6 ) , ( 4,10 )
D) Center: (4,2) ( 4,2 ) ; Vertices: (4,8) ,(4,12) ( 4 , - 8 ) , ( 4,12 ) ; Foci: (4,4) ,(4,8) ( 4 , - 4 ) , ( 4,8 )

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