Find the Standard-Form Equation of the Hyperbola Centered at the Origin

question 293

Multiple Choice

Find the standard-form equation of the hyperbola centered at the origin which satisfies the given conditions.
-Asymptotes $y = \frac { 6 } { 7 } x , y = - \frac { 6 } { 7 } x$ ; one vertex is $( 7,0 )$

• A) \(\frac { x ^ { 2 } } { 49 } - \frac { y ^ { 2 } } { 36 } = 7\)
• B) \(\frac { x ^ { 2 } } { 49 } - \frac { y ^ { 2 } } { 36 } = 1\)
• C) \(\frac { y ^ { 2 } } { 49 } - \frac { x ^ { 2 } } { 36 } = 1\)
• D) \(\frac { x ^ { 2 } } { 49 } - \frac { y ^ { 2 } } { 36 } = 1764\)

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