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Find the Standard Form of the Equation of the Hyperbola (0,±5)( 0 , \pm 5 )

Question 195

Multiple Choice

Find the standard form of the equation of the hyperbola with the given characteristics and center at the origin.
Vertices: (0,±5) ( 0 , \pm 5 ) ; foci: (0,±9) ( 0 , \pm 9 )


A) y225x256=1\frac { y ^ { 2 } } { 25 } - \frac { x ^ { 2 } } { 56 } = 1
B) x225y256=1\frac { x ^ { 2 } } { 25 } - \frac { y ^ { 2 } } { 56 } = 1
C) y225+x256=1\frac { y ^ { 2 } } { 25 } + \frac { x ^ { 2 } } { 56 } = 1
D) y256x225=1\frac { y ^ { 2 } } { 56 } - \frac { x ^ { 2 } } { 25 } = 1
E) x225+y256=1\frac { x ^ { 2 } } { 25 } + \frac { y ^ { 2 } } { 56 } = 1

Correct Answer:

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