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If $X = A B$ and $ΔX, ΔA and ΔB$ are maximum absolute errors in X, A and B respectively, then the maximum relative error in X is given by

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ΔX= ΔA + ΔB

ΔX= ΔA − ΔB

ΔXX= ΔAA − ΔBB

ΔXX= ΔAA + ΔBB

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detailed solution

Correct option is D

When two quantities are multiplied, their maximum relative errors are added up.hence, ΔXX = ΔAA+ΔBB

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If X = A B and ΔX, ΔA and ΔB are maximum absolute errors in X, A and B respectively, then the maximum relative error in X is given by

Remember concepts with our Masterclasses.

Ready to Test Your Skills?

free study material

If $X = A B$ and $ΔX, ΔA and ΔB$ are maximum absolute errors in X, A and B respectively, then the maximum relative error in X is given by