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Find the Center, Vertices and Foci of the Hyperbola x281y264=1\frac { x ^ { 2 } } { 81 } - \frac { y ^ { 2 } } { 64 } = 1

Question 6

Multiple Choice

Find the center, vertices and foci of the hyperbola. x281y264=1\frac { x ^ { 2 } } { 81 } - \frac { y ^ { 2 } } { 64 } = 1


A) Center: (64,81) ( 64,81 )
Vertices: (±8,0) ( \pm 8,0 )
Foci: (±145,0) ( \pm \sqrt { 145 } , 0 )
B) Center: (0,0) ( 0,0 )
Vertices: (0,±8) ( 0 , \pm 8 )
Foci: (0,±145) ( 0 , \pm \sqrt { 145 } )
C) Center: (0,0) ( 0,0 )
Vertices: (±8,0) ( \pm 8,0 )
Foci: (±145,0) ( \pm \sqrt { 145 } , 0 )
D) Center: (64,81) ( 64,81 )
Vertices: (±9,0) ( \pm 9,0 )
Foci: (±145,0) ( \pm \sqrt { 145 } , 0 )
E) Center: (0,0) ( 0,0 )
Vertices: (±9,0) ( \pm 9,0 )
Foci: (±145,0) ( \pm \sqrt { 145 } , 0 )

Correct Answer:

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