If \( z \) is a complex number lying in the first quadrant such that \( \operatorname{Re}(z)+\op...

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If \( z \) is a complex number lying in the first quadrant such that \( \operatorname{Re}(z)+\operatorname{Im}(z)=3 \), then the maximum value of \( \{\operatorname{Re}(z)\}^{2} \operatorname{Im}(z) \), is
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