Find the modulus of a + ib ?

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  1. \( \sqrt{a^2 + b^2}\)
  2. \( \sqrt{a^2 - b^2}\)
  3. 1
  4. None of these

Answer (Detailed Solution Below)

Option 1 : \( \sqrt{a^2 + b^2}\)
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Detailed Solution

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CONCEPT:

  • If z = x + iy then \(|z| = \sqrt{x^2 + y^2}\)


CALCULATION:

Let z = a + ib

As we know that, if z = x + iy then \(|z| = \sqrt{x^2 + y^2}\)

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