A) \[\frac{-1}{i+1}\]
B) \[\frac{1}{i-1}\]
C) \[\frac{-1}{i-1}\]
D) \[\frac{1}{i+1}\]
Correct Answer: A
Solution :
\[z=\frac{1}{i-1}\Rightarrow z=\frac{i+1}{-2}\] \[\Rightarrow \] \[\overline{z}=\frac{1-i}{-2}=\frac{\left( 1-i \right)\left( i+1 \right)}{-2\left( i+1 \right)}\Rightarrow -\frac{1}{i+1}\]You need to login to perform this action.
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