Question

Identify the slope of the asymptotes of 5(y -1)2 - 20(x - 1)2 =64

Answer 1

Given 5(y -1)2 - 20(x - 1)2 =64
=> 5(y -1)^2/64 - 20(x – 1)^2/64 =1
=>5(y -1)^2/8^2-20(x – 1)^2/8^2 =1
=>(y -1)^2/(8/√5)^2 - (x – 1)^2/(8/√20)^2 =1
we have (y-1)^2/b^2-(x-1)^2/a^2=1
where slope of the asymptotes =±b/a
=>slope of the asymptotes =± (8/√5)/(8/√20)
=> slope of the asymptotes =±√20/√5

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Answer 2

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