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The accuracy of an Electronic Distance Measuring Instrument (EDMI) is specified as $\pm (a \: mm + b \: ppm)$. Which one of the following statements is correct?

  1. Both $a$ and $b$ remain constant, irrespective of the distance being measured
  2. $a$ remains constant and $b$ varies in proportion to the distance being measured
  3. $a$ varies in proportion to the distance being measured and $b$ remains constant
  4. Both $a$ and $b$ vary in proportion to the distance being measured
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