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Identify the Vertices and the Foci x214+y22=1\frac { x ^ { 2 } } { 14 } + \frac { y ^ { 2 } } { 2 } = 1

Question 119

Multiple Choice

Identify the vertices and the foci.
- x214+y22=1\frac { x ^ { 2 } } { 14 } + \frac { y ^ { 2 } } { 2 } = 1


A) vertices: (0,14) ( 0,14 ) and (0,14) ( 0 , - 14 ) ;
foci: (0,12) ( 0,12 ) and (0,12) ( 0 , - 12 )
B) vertices: (14,0) ( 14,0 ) and (14,0) ( - 14,0 ) ;
foci: (12,0) ( 12,0 ) and (12,0) ( - 12,0 )
C) vertices: (0,14) ( 0 , \sqrt { 14 } ) and (0,14) ( 0 , - \sqrt { 14 } )
foci: (0,23) ( 0,2 \sqrt { 3 } ) and (0,23) ( 0 , - 2 \sqrt { 3 } )
D) vertices: (14,0) ( \sqrt { 14 } , 0 ) and (14,0) ( - \sqrt { 14 } , 0 ) ;
foci: (23,0) ( 2 \sqrt { 3 } , 0 ) and (23,0) ( - 2 \sqrt { 3 } , 0 )

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