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The asymptotes of hyperbola xy = hx + ky are :?
Update:
i found out this graphically http://www.wolframalpha.com/input/?i=asymptotes++x... but tell me it theroretically
1 Answer
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- Anonymous1 decade agoFavorite Answer
xy = hx + ky
y(x - k) = hx
divided all terms by x,
(y/x)(x - k) = h
(y/x)(x - k) = h
limit x → ∞
y(1 - k/x) = h
limit x → ∞
y = h
(y/x)(x - k) = h
limit y → ∞
hx/y = x - k
limit y → ∞
x - k = 0
x = k
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