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Find the Vertices and Asymptotes of the Hyperbola 25y24x2=10025 y ^ { 2 } - 4 x ^ { 2 } = 100

Question 111

Multiple Choice

Find the vertices and asymptotes of the hyperbola. 25y24x2=10025 y ^ { 2 } - 4 x ^ { 2 } = 100


A) vertices: (±2,0) ,asymptote: y=±52xy = \pm \frac { 5 } { 2 } x
B) vertices: (0,±2) ,asymptote: y=±25xy = \pm \frac { 2 } { 5 } x
C) vertices: (±2,0) ,asymptote: y=±25xy = \pm \frac { 2 } { 5 } x
D) vertices: (0,±2) ,asymptote: y=±52xy = \pm \frac { 5 } { 2 } x
E) vertices: (±2,5) ,asymptote: y=±25xy = \pm \frac { 2 } { 5 } x

Correct Answer:

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