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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=67x,y=67xy = \frac { 6 } { 7 } x , y = - \frac { 6 } { 7 } x ; one vertex is (7,0) ( 7,0 )


A) x249y236=7\frac { x ^ { 2 } } { 49 } - \frac { y ^ { 2 } } { 36 } = 7
B) x249y236=1\frac { x ^ { 2 } } { 49 } - \frac { y ^ { 2 } } { 36 } = 1
C) y249x236=1\frac { y ^ { 2 } } { 49 } - \frac { x ^ { 2 } } { 36 } = 1
D) x249y236=1764\frac { x ^ { 2 } } { 49 } - \frac { y ^ { 2 } } { 36 } = 1764

Correct Answer:

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