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.___
Answer
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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.
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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