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Application of Inverse Proportionality

If x and y ar...

Question

If x and y are inversely proportional, then which of the following is correct ?

x+y = constant

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x-y = constant

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xy = constant

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\frac{x}{y}

= constant

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Solution

The correct option is C xy = constant
For inverse proportions,

$x \propto \frac{1}{y}$

$\Rightarrow x = \frac{k}{y}$

$\Rightarrow x y = k =$ constant

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