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.___

When two quantities \(x\) and \(y\) are in inverse proportion, then \(\frac {x}{y}\) is a constant.___

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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.___

When two quantities \(x\) and \(y\) are in inverse proportion, then \(\frac {x}{y}\) is a constant.___

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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.

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.

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