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Identify the Vertices and Asymptotes of the Hyperbola x2y2=36x ^ { 2 } - y ^ { 2 } = 36

Question 75

Multiple Choice

Identify the vertices and asymptotes of the hyperbola. x2y2=36x ^ { 2 } - y ^ { 2 } = 36


A) vertices: (6,6) ,(6,6) ( 6 , - 6 ) , ( 6,6 ) asymptotes: y=6x,y=x6y = - 6 x , y = \frac { x } { 6 }
B) vertices: (36,0) ,(36,0) ( - 36,0 ) , ( 36,0 ) asymptotes: y=x,y=xy = - x , y = x
C) vertices: (0,6) ,(0,6) ( 0 , - 6 ) , ( 0,6 ) asymptotes: y=6x,y=x6y = - 6 x , y = \frac { x } { 6 }
D) vertices: (6,0) ,(6,0) ( - 6,0 ) , ( 6,0 ) asymptotes: y=x,y=xy = - x , y = x
E) vertices: (0,6) ,(0,6) ( 0 , - 6 ) , ( 0,6 ) asymptotes: y=x,y=xy = - x , y = x

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