Q59 / 160 · WBJEE 2010 · Mathematics

If $z=\frac{4}{1-i}$, then $\bar{z}$ is (where $\bar{z}$ is complex conjugate of $z$ )

  • A
    $2(1+i)$
  • B
    $(1+i)$
  • C
    $\frac{2}{1-\mathrm{i}}$
  • Correct answer
    D
    $\frac{4}{1+\mathrm{i}}$

Solution

Hints: $z=\frac{4}{1-i}$ $$ \overline{\mathrm{z}}=\frac{4}{1+\mathrm{i}} $$

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

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