If X = A×B and ∆X, ∆A and ∆B are maximum absolute errors in X, A and B respectively, then…

Physics · JEE Main · NTA ExamsPhysics and Measurement

If X = A×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
  1. X = A + B
  2. X = A – B
  3. \(\frac{\Delta X}{X}=\frac{\Delta A}{A}-\frac{\Delta B}{B}\)
  4. \(\frac{\Delta X}{X}=\frac{\Delta A}{A}+\frac{\Delta B}{B}\)

Answer

(D) X X = A A + B B

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