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State whether the statement is true (T) or false (F):
When two quantities $$x$$ and $$y$$ are in inverse proportion, then $$\frac {x}{y}$$ is a constant.___
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## QuestionMathsClass 8

State whether the statement is true (T) or false (F):
When two quantities $$x$$ and $$y$$ are in inverse proportion, then $$\frac {x}{y}$$ is a constant.___

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4.6
4.6

## Solution

Given: $$x$$ and $$y$$ are in inverse proportion.
So, $$x\propto \frac{1}{y}$$
$$\Rightarrow$$ $$x=\frac{k}{y}$$ where, $$k$$ is a constant.
$$\Rightarrow$$ $$xy=k$$
$$\Rightarrow$$ $$xy=\text{constant}$$
So, the given statement is false.