A) \[\bar{z}\]
B) \[-\overline{z}\]
C) z
D) \[-z\]
Correct Answer: B
Solution :
We have \[z=x+iy\] and let their complex \[{{z}_{2}}\] and given that \[arg\ (z)+{{z}_{2}}=\pi \] \[{{z}_{2}}=\pi -arg(z)\]; \[{{z}_{2}}=\pi +\left[ -{{\tan }^{-1}}\frac{y}{x} \right]\] \[{{z}_{2}}=\pi +[arg\ (\bar{z})]\] which lies in second quadrant, i.e. \[-\bar{z}\].
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