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Find the Center, Transverse Axis, Vertices, and Foci of the Hyperbola

Question 40

Multiple Choice

Find the center, transverse axis, vertices, and foci of the hyperbola.
- y24x2121=1\frac { y ^ { 2 } } { 4 } - \frac { x ^ { 2 } } { 121 } = 1


A) center at (0,0) ( 0,0 )
transverse axis is y\mathrm { y } -axis
vertices: (0,2) ,(0,2) ( 0 , - 2 ) , ( 0,2 )
oci: (0,55) ,(0,55) ( 0 , - 5 \sqrt { 5 } ) , ( 0,5 \sqrt { 5 } )
B) center at (0,0) ( 0,0 )
transverse axis is yy -axis
vertices: (2,0) ,(2,0) ( - 2,0 ) , ( 2,0 ) f
foci: (11,0) ,(11,0) ( - 11,0 ) , ( 11,0 )
C) center at (0,0) ( 0,0 )
transverse axis is yy -axis
vertices: (0,2) ,(0,2) ( 0 , - 2 ) , ( 0,2 )
foci: (55,0) ,(55,0) ( - 5 \sqrt { 5 } , 0 ) , ( 5 \sqrt { 5 } , 0 )
D) center at (0,0) ( 0,0 )
transverse axis is xx -axis
vertices: (11,0) ,(11,0) ( - 11,0 ) , ( 11,0 )
foci: (55,0) ,(55,0) ( - 5 \sqrt { 5 } , 0 ) , ( 5 \sqrt { 5 } , 0 )

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