Q. Equation of asymptotes of $xy = 7x + 5y\$are
A) $x = 7,y = 5$
B) $x = 5,\ y = 7$
C) $xy = 35$
D) None of these
Explanation
(b)
We have, $xy = 7x + 5y$
$x(y - 7) - 5y = 0$
$x(y - 7) = 5(y - 7) + 35$
$(x - 5)(y - 7) = 35$
Now, asymptotes of $xy = c$ are $x = 0,\ y = 0$
$\therefore x - 5 = 0,\ y \Rightarrow - 7 = 0\$
$ie,\ \ x = 5,\ y = 7$ are asymptotes
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.