Q159 / 270 · NDA 2017 (Phase 2) · Mathematics

If $|\mathrm{a}|$ denotes the absolute value of an integer, then which of the following are correct? 1. $|\mathrm{ab}|=|\mathrm{a}||\mathrm{b}|$ 2. $|a+b| \leq|a|+|b|$ 3. $|a-b| \geq||a|-|b||$ Select the correct answer using the code given below.

  • A
    $1$ and $2$ only
  • B
    $2$ and $3$ only
  • C
    $1$ and $3$ only
  • Correct answer
    D
    $1,2$ and $3$

Solution

All the given three options are correct

Hence, the correct answer is option: 'D'.

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