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

Question 41

Multiple Choice

Find the center, vertices, and foci of the ellipse with the given equation.
- 5x2+7y2=355 x ^ { 2 } + 7 y ^ { 2 } = 35


A) Center: (0,0) ( 0,0 ) ; Vertices: (7,0) ,(7,0) ( - \sqrt { 7 } , 0 ) , ( - \sqrt { 7 } , 0 ) ; Foci: (2,0) ,(2,0) ( - \sqrt { 2 } , 0 ) , ( \sqrt { 2 } , 0 )
B) Center: (0,0) ( 0,0 ) ; Vertices: (0,7) ,(0,7) ;( 0 , - 7 ) , ( 0,7 ) ; Foci: (0,26) ,(0,26) ( 0 , - 2 \sqrt { 6 } ) , ( 0,2 \sqrt { 6 } )
C) Center: (0,0) ( 0,0 ) ; Vertices: (0,7) ,(0,7) ( 0 , - \sqrt { 7 } ) , ( 0 , - \sqrt { 7 } ) ; Foci: (0,2) ,(0,2) ( 0 , - \sqrt { 2 } ) , ( 0 , \sqrt { 2 } )
D) Center: (0,0) ( 0,0 ) ; Vertices: (7,0) ,(7,0) ( - 7,0 ) , ( 7,0 ) ; Foci: (26,0) ,(26,0) ( - 2 \sqrt { 6 } , 0 ) , ( 2 \sqrt { 6 } , 0 )

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