Find the Equation of the Hyperbola with Center $( 3,1 ) , a = 5$

question 34

Multiple Choice

Find the equation of the hyperbola with center $( 3,1 ) , a = 5$ and $b = 4$ . Transverse axis is horizontal.

• A) \(\frac { ( x - 3 ) ^ { 2 } } { 25 } - \frac { ( y - 1 ) ^ { 2 } } { 16 } = 1\)
• B) \(\quad \frac { ( x - 3 ) ^ { 2 } } { 25 } + \frac { ( y - 1 ) ^ { 2 } } { 16 } = 1\)
• C) \(\quad \frac { ( x - 4 ) ^ { 2 } } { 23 } - \frac { ( y - 1 ) ^ { 2 } } { 16 } = 1\)
• D) \(\quad \frac { ( x + 3 ) ^ { 2 } } { 25 } - \frac { ( y + 1 ) ^ { 2 } } { 16 } = 1\)
• E) none of these

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