Question

The asymptotes of the rectangular hyperbola $xy=c^2$ are

• A. $x=c,y=c$
• B. $x=0,y=c$
• C. $x=c,y=0$
• D. $x=0,y=0$

Answer 1

The correct option is D $x=0,y=0$

Asymptotes of a hyperbola $\frac{x^2}{a^2}-\frac{y^2}{b^2}=1$ is given by, $\frac{x^2}{a^2}-\frac{y^2}{b^2}=0$

Similarly asymptotes of $xy=c^2$ is given by $xy=0$

$\Rightarrow x=0$ and $y=0$