If $X = A \times B$ and $△ X, △ A$ and $△ B$ are maximum absolute errors in $X A$ and $B$ respectively, then the maximum relative error in X is given by:

△ X = △ A + △ B

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△ X = △ A - △ B

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\frac{△ X}{X} = \frac{△ A}{A} - \frac{△ B}{B}

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\frac{△ X}{X} = \frac{△ A}{A} + \frac{△ B}{B}

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Solution

The correct option is D $\frac{△ X}{X} = \frac{△ A}{A} + \frac{△ B}{B}$
If $X = A \times B$
$Δ X, Δ A, Δ B$ will be max absolute errors in $X A$ and $B$ relative error.
$\frac{Δ X}{X} = \frac{Δ A}{A} + \frac{Δ B}{B}$
when the product value occur in any variable, the relative error will be summation value.

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