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Question: Answered & Verified by Expert
If $z=\frac{4}{1-i}$, then $\bar{z}$ is (where $\bar{z}$ is complex conjugate of $z$ )
MathematicsComplex NumberWBJEEWBJEE 2010
Options:
  • A $2(1+i)$
  • B $(1+i)$
  • C $\frac{2}{1-\mathrm{i}}$
  • D $\frac{4}{1+\mathrm{i}}$
Solution:
1515 Upvotes Verified Answer
The correct answer is: $\frac{4}{1+\mathrm{i}}$
Hints: $z=\frac{4}{1-i}$
$$
\overline{\mathrm{z}}=\frac{4}{1+\mathrm{i}}
$$

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