Q44 / 60 · NEST (NISER) 2016 · Mathematics

The real and imaginary part of the complex number $1+\sqrt{i}$ where $i=\sqrt{-1}$ are

  • Correct answer
    A
    $1-\frac{1}{\sqrt{2}}$ and $-\frac{1}{\sqrt{2}}$ respectively.
  • B
    $1-\frac{1}{\sqrt{2}}$ and $\frac{1}{\sqrt{2}}$ respectively.
  • Correct answer
    C
    $1+\frac{1}{\sqrt{2}}$ and $\frac{1}{\sqrt{2}}$ respectively.
  • D
    $1+\frac{1}{\sqrt{2}}$ and $-\frac{1}{\sqrt{2}}$ respectively.

Hence, the correct answer is options: 'A', 'C'.

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