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Find the Vertices and Asymptotes of the Hyperbola 9y24x2=369 y ^ { 2 } - 4 x ^ { 2 } = 36

Question 1

Multiple Choice

Find the vertices and asymptotes of the hyperbola.
9y24x2=369 y ^ { 2 } - 4 x ^ { 2 } = 36


A) vertices: (0,±2) ( 0 , \pm 2 ) \quad asymptote: y=±23xy = \pm \frac { 2 } { 3 } x
B) vertices: (0,±2) ( 0 , \pm 2 ) \quad asymptote: y=±32xy = \pm \frac { 3 } { 2 } x
C) vertices: (±2,0) ( \pm 2,0 ) \quad asymptote: y=±23xy = \pm \frac { 2 } { 3 } x
D) vertices: (±2,0) ( \pm 2,0 ) \quad asymptote: y=±32xy = \pm \frac { 3 } { 2 } x
E) vertices: (±2,3) ( \pm 2,3 ) \quad asymptote: y=±23xy = \pm \frac { 2 } { 3 } x

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