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The asymptotes of the hyperbola $36y^{2}-25x^{2}+900=0$ are

\[\begin{array}{1 1}(1)y=\pm\large\frac{6}{5}x&(2)y=\pm\frac{576}{25}x\\(3)y=\pm\frac{36}{25}x&(4)y=\pm\frac{25}{36}x\end{array}\]

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$36y^2-25x^2=-900$
$25x^2-36y^2=900$
The equations of the asymptotes are
$25x^2-36y^2=0$
$25x^2=36y^2$
$y^2=\large\frac{25}{36}$$x^2$
$y= \pm \large\frac{5}{6} x$
Hence 2 is the correct answer.
answered May 16, 2014 by meena.p
 
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