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Find the Center, Vertices and Foci of the Hyperbola x225y216=1\frac { x ^ { 2 } } { 25 } - \frac { y ^ { 2 } } { 16 } = 1

Question 81

Multiple Choice

Find the center, vertices and foci of the hyperbola. x225y216=1\frac { x ^ { 2 } } { 25 } - \frac { y ^ { 2 } } { 16 } = 1


A) Center: (0,0) ( 0,0 )
Vertices: (±5,0) ( \pm 5,0 )
Foci: (±41,0) ( \pm \sqrt { 41 } , 0 )
B) Center: (0,0) ( 0,0 )
Vertices: (±4,0) \quad ( \pm 4,0 )
Foci: (±41,0) ( \pm \sqrt { 41 } , 0 )
C) Center: (16,25) ( 16,25 )
Vertices: (±4,0) ( \pm 4,0 )
Foci: (±41,0) ( \pm \sqrt { 41 } , 0 )
D) Center: (16,25) ( 16,25 )
Vertices: (±5,0) ( \pm 5,0 )
Foci: (±41,0) ( \pm \sqrt { 41 } , 0 )
E) Center: (0,0) ( 0,0 )
Vertices: (0,±4) \quad ( 0 , \pm 4 )
Foci: (0,±41) ( 0 , \pm \sqrt { 41 } )

Correct Answer:

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