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Find the Standard Form of the Equation of the Hyperbola (y5)24(x3)212=1\frac { ( y - 5 ) ^ { 2 } } { 4 } - \frac { ( x - 3 ) ^ { 2 } } { 12 } = 1

Question 344

Multiple Choice

Find the standard form of the equation of the hyperbola with the given characteristics.
vertices: (3, 3) , (3, 7)
Foci: (3, 1) , (3, 9)


A) (y5) 24(x3) 212=1\frac { ( y - 5 ) ^ { 2 } } { 4 } - \frac { ( x - 3 ) ^ { 2 } } { 12 } = 1
B) (y5) 24+(x3) 212=1\frac { ( y - 5 ) ^ { 2 } } { 4 } + \frac { ( x - 3 ) ^ { 2 } } { 12 } = 1
C) (x5) 24(y3) 212=1\frac { ( x - 5 ) ^ { 2 } } { 4 } - \frac { ( y - 3 ) ^ { 2 } } { 12 } = 1
D) (y+5) 24(x3) 212=1\frac { ( y + 5 ) ^ { 2 } } { 4 } - \frac { ( x - 3 ) ^ { 2 } } { 12 } = 1
E) (y5) 24(x+3) 212=1\frac { ( y - 5 ) ^ { 2 } } { 4 } - \frac { ( x + 3 ) ^ { 2 } } { 12 } = 1

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