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  • Equation of a rectangular hyperbola whose asymptotes are and <img alt="\mathrm{y=5}" src="https

Equation of a rectangular hyperbola whose asymptotes are \mathrm{x=3} and \mathrm{y=5} and passing through \mathrm{(7,8)} is

Option: 1

\mathrm{x y-3 y+5 x+3=0}


Option: 2

\mathrm{\quad x y+3 y+5 x+3=0}


Option: 3

\mathrm{x y-3 y+5 x-3=0}


Option: 4

\mathrm{x y-3 y-5 x+3=0}


Answers (1)

best_answer

 Equation of hyperbola will be \mathrm{(x-3)(y-5)+k=0}

This passes through \mathrm{(7,8)}

\mathrm{\Rightarrow \mathrm{k}=-12}

Hence equation is \mathrm{x y-3 y-5 x+3=0}

Posted by

Pankaj

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