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Question
In which of the following table x and y vary inversely:
| x | 4 | 3 | 12 | 1 |
| y | 6 | 8 | 2 | 24 |
Solution
\[\text{ Since x and y vary inversely, we have: } \]
\[y = \frac{k}{x}\]
\[ \Rightarrow xy = k\]
\[ \therefore \text{ The product of x and y is constant } . \]
\[\text{ In all cases, the product xy is constant } (i . e . , 24) . \]
\[\text{ Thus, in this case, x and y vary inversely .} \]
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