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

Solution

## The correct option is D $$x = 0, y = 0$$Asymptotes of a hyperbola $$\dfrac{x^2}{a^2}-\dfrac{y^2}{b^2}=1$$ is given by,  $$\dfrac{x^2}{a^2}-\dfrac{y^2}{b^2}=0$$Similarly asymptotes of $$xy=c^2$$ is given by $$xy=0$$$$\Rightarrow x=0$$ and $$y=0$$Maths

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