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# The asymptotes of the rectangular hyperbola $xy=c^{2}$ are

$\begin{array}{1 1}(1)x=c ,y=c &(2)x=0 ,y=c\\(3)x=c ,y=0&(4)x=0 , y=0\end{array}$

The equation of the rectangular hyperbola is
$xy=c^2$
The the equation of the asymptotes is $xy=0$
ie $x=0,y=0$
Separate equations of the asymptotes are $x=0$ & $y=0$
Hence 4 is the correct answer.