find the equation of the asymptodes of the hyperbola xy=hx+ky??
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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
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
pepy:
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