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Question Number 23429 by gopikrishnan005@gmail.com last updated on 30/Oct/17

An asymptote to the curve y^2 (1+x)=x^2 (1−x) is

$${An}\:{asymptote}\:{to}\:{the}\:{curve}\:{y}^{\mathrm{2}} \left(\mathrm{1}+{x}\right)={x}^{\mathrm{2}} \left(\mathrm{1}−{x}\right)\:{is} \\ $$

Commented by FilupES last updated on 31/Oct/17

y^2 =((x^2 (1−x))/((1+x)))  asymptote when:  1+x=0 ⇒ x=1

$${y}^{\mathrm{2}} =\frac{{x}^{\mathrm{2}} \left(\mathrm{1}−{x}\right)}{\left(\mathrm{1}+{x}\right)} \\ $$$$\mathrm{asymptote}\:\mathrm{when}: \\ $$$$\mathrm{1}+{x}=\mathrm{0}\:\Rightarrow\:{x}=\mathrm{1} \\ $$

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