If `X= A xx B and Delta X Delta A and Delta B` are maximum absolute error in X ,A and B respectively , then the maximum relative in X is given by

Options

A. `Delta X = Delta A + Delta B`
B. `Delta X = Delta A - Delta B`
C. `(Delta X)/(X) = (Delta A)/(A) - (Delta B)/(B)`
D. `(Delta X)/(X) = (Delta A)/(A) + (Delta B)/(B)`

Answer

d

Explanation

When two quantities are multiplied, their maximum relative errors areadded up
Hence `(Delta X)/(X)= (Delta A)/(A)+ (Delta B)/(B)`