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

Question 282

Multiple Choice

Find the standard-form equation of the hyperbola centered at the origin which satisfies the given conditions.
-Foci at (20,0) ,(20,0) ( - 20,0 ) , ( 20,0 ) ; asymptotes: y=34x,y=34xy = \frac { 3 } { 4 } x , y = - \frac { 3 } { 4 } x


A) y2256x2144=1\frac { y ^ { 2 } } { 256 } - \frac { x ^ { 2 } } { 144 } = 1
B) x2256y2144=1\frac { x ^ { 2 } } { 256 } - \frac { y ^ { 2 } } { 144 } = 1
C) y2144x2256=1\frac { y ^ { 2 } } { 144 } - \frac { x ^ { 2 } } { 256 } = 1
D) x2144y2256=1\frac { x ^ { 2 } } { 144 } - \frac { y ^ { 2 } } { 256 } = 1

Correct Answer:

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