Let \( z \in C \) be such that \( \operatorname{Re}\left(z^{2}\right)=0 \), then.... VIDEO
Let \( z \in C \) be such that \( \operatorname{Re}\left(z^{2}\right)=0 \), then
(1) \( |\operatorname{Re}(z)|+\operatorname{Im}(z)=0 \)
\( \mathrm{P} \)
(2) \( |\operatorname{Re}(z)|=|\operatorname{Im}(z)| \)
(3) \( \operatorname{Re}(z)+|\operatorname{Im}(z)|=0 \)
(4) \( \operatorname{Re}(z)=0 \) or \( \operatorname{Im}(z)=0 \)
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