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Find the Asymptotes of the Hyperbola (x−2)24−(y−1)225=1\frac { ( x - 2 ) ^ { 2 } } { 4 } - \frac { ( y - 1 ) ^ { 2 } } { 25 } = 1

Question 140

Multiple Choice

Find the asymptotes of the hyperbola.
- (x−2) 24−(y−1) 225=1\frac { ( x - 2 ) ^ { 2 } } { 4 } - \frac { ( y - 1 ) ^ { 2 } } { 25 } = 1


A) y−1=52(x−2) y - 1 = \frac { 5 } { 2 } ( x - 2 ) and y−1=−52(x−2) y - 1 = - \frac { 5 } { 2 } ( x - 2 )

B) y−1=25(x−2) y - 1 = \frac { 2 } { 5 } ( x - 2 ) and y−1=−25(x−2) y - 1 = - \frac { 2 } { 5 } ( x - 2 )

C) y−2=52(x−1) y - 2 = \frac { 5 } { 2 } ( x - 1 ) and y−2=−52(x−1) y - 2 = - \frac { 5 } { 2 } ( x - 1 )

D) y=52(x−2) y = \frac { 5 } { 2 } ( x - 2 ) and y=−52(x−2) y = - \frac { 5 } { 2 } ( x - 2 )

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