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Question

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


A
x=c,y=c
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B
x=0,y=c
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C
x=c,y=0
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D
x=0,y=0
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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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