Match the conditions/expressions in Column I with statement in Colu...

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Match the conditions/expressions in Column I with statement in Column II ( \( z \neq 0 \) is a complex number)
\( \mathrm{P} \)
\begin{tabular}{llll}
\hline & Column I & & Column II \\
\hline A. & \( \operatorname{Re}(z)=0 \) & p. & \( \operatorname{Re}\left(z^{2}\right)=0 \) \\
\hline B. & \( \arg (z)=\frac{\pi}{4} \) & q. & \( \operatorname{Im}\left(z^{2}\right)=0 \)
\end{tabular}
W
r. \( \operatorname{Re}\left(z^{2}\right)=\operatorname{Im}\left(z^{2}\right) \)
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