1. Tardigrade
  2. Question
  3. Mathematics
  4. The equations of the asymptotes of the hyperbola xy +3x - 2y -10= 0 are

Question Error Report

Thank you for reporting, we will resolve it shortly

Back to Question

Q. The equations of the asymptotes of the hyperbola $xy +3x - 2y -10= 0$ are

KEAMKEAM 2018

Solution:

We have equation of hyperbola is
$x y+3 x-2 y-10=0$
$x y+3 x-2 y-6=4$
$(x-2)(y+3)=4$
We know that asymptote of hyperbola
$x y=c$ is $x=0$ and $y=0$.
$\therefore $ Asymptote of hyperbola
$(x-2)(y+3)=4$ is $x-2=0, y+3=0$
$\Rightarrow x=2, y=-3$