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Asymptotes of Hyperbolas - Class XI

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QuestionClick to flip

Asymptotes of the hyperbola $xy=4x+3y$ are

AnswerClick to flip back

x=3, y=4

💡 Explanation:

correct answer is A.

Given,

$xy=4x+3y$

$\Rightarrow (x-y)=3(y-4)+12$

$\Rightarrow (x-4)(y-4)=12$

$\therefore$ joint equation of asymptotes is $(x-3)(y-4)=0$

hence,

$x-3=0$

$x=3$

and,

$y-4=0$

$y=4$