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

Question 39

Multiple Choice

Find the standard-form equation of the hyperbola centered at the origin which satisfies the given conditions.
-Foci at (0,5) ,(0,5) ( 0 , - 5 ) , ( 0,5 ) ; asymptotes: y=43x,y=43xy = \frac { 4 } { 3 } x , y = - \frac { 4 } { 3 } x


A) x29y216=1\frac { x ^ { 2 } } { 9 } - \frac { y ^ { 2 } } { 16 } = 1
B) y216x29=1\frac { y ^ { 2 } } { 16 } - \frac { x ^ { 2 } } { 9 } = 1
C) x216y29=1\frac { x ^ { 2 } } { 16 } - \frac { y ^ { 2 } } { 9 } = 1
D) y29x216=1\frac { y ^ { 2 } } { 9 } - \frac { x ^ { 2 } } { 16 } = 1

Correct Answer:

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