Write an Equation for the Hyperbola $( 0 , \pm 10 )$

question 115

Multiple Choice

Write an equation for the hyperbola.
-vertices at $( 0 , \pm 10 )$ , asymptotes at $y = \pm \frac { 5 } { 2 } x$

• A) \(\frac { y ^ { 2 } } { 16 } - \frac { x ^ { 2 } } { 100 } = 1\)
• B) \(\frac { y ^ { 2 } } { 100 } - \frac { x ^ { 2 } } { 4 } = 1\)
• C) \(\frac { y ^ { 2 } } { 4 } - \frac { x ^ { 2 } } { 25 } = 1\)
• D) \(\frac { y ^ { 2 } } { 100 } - \frac { x ^ { 2 } } { 16 } = 1\)

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