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Find the Standard Form of the Equation of the Hyperbola 32\frac { 3 } { 2 }

Question 68

Multiple Choice

Find the standard form of the equation of the hyperbola with the given characteristics and center at the origin. ​
Vertices: (0,±2) ;asymptotes: y = ± 32\frac { 3 } { 2 } x


A) y29+x24=1\frac { y ^ { 2 } } { 9 } + \frac { x ^ { 2 } } { 4 } = 1
B) y24x29=1\frac { y ^ { 2 } } { 4 } - \frac { x ^ { 2 } } { 9 } = 1
C) y29x24=1\frac { y ^ { 2 } } { 9 } - \frac { x ^ { 2 } } { 4 } = - 1
D) x24+y29=1\frac { x ^ { 2 } } { 4 } + \frac { y ^ { 2 } } { 9 } = 1
E) y29x24=1\frac { y ^ { 2 } } { 9 } - \frac { x ^ { 2 } } { 4 } = 1

Correct Answer:

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