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  • Equation of asymptotes of the hyperbola <img alt="\mathrm{x y-3 x-4 y+8=0}" src="https://entrancecorner.oncodecogs.com/gif.latex?%5Cmathrm%7Bx%20y-3%20x-4%20y&pl

Equation of asymptotes of the hyperbola \mathrm{x y-3 x-4 y+8=0}  , is 

 

Option: 1

x = 3, y = 4


Option: 2

x = 0, y = 0


Option: 3

x = 4, y = 3


Option: 4

none of these

 


Answers (1)

best_answer

\mathrm{x y-3 x-4 y+8=0}

Asymptotes are  \mathrm{x y-3 x-4 y+c=0} such that it’s a pair of straight lines

\mathrm{\text { i.e., } a b c+2 f g h-a f^2-b g^2-c h^2=0 \Rightarrow c=12}

\mathrm{\begin{aligned} & x(y-3)-4(y-3)=0 \\ & x=0 \text { and } y=3 \end{aligned}}

 

 

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