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Asymptotes of the hyperbola \mathrm{x y=5 x+4 y} are

Option: 1

\mathrm{x=4, y=5}


Option: 2

\mathrm{x=5, y=4}


Option: 3

\mathrm{x=4, y=}


Option: 4

\mathrm{x=5, Y=2}


Answers (1)

Let the pair of asymptotes be \mathrm{x y-5 x-4 y+k=0}

This should represent a pair of straight line
\mathrm{\Rightarrow \mathrm{k}=20}

Hence equation is \mathrm{x y-5 x-4 y+20=0}

Hence the equation are \mathrm{\mathrm{x}=4\: and \: \mathrm{y}=5}

Posted by

Ramraj Saini

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