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Let S1,S2S_1, S_2 and S3S_3 be three sets defined as S1={z∈C:∣z−1∣≤2}S_1 = \{z \in \mathbb{C} : |z - 1| \le \sqrt{2}\}, S2={z∈C:Re((1−i)z)≥1}S_2 = \{z \in \mathbb{C} : \mathrm{Re}((1 - i)z) \ge 1\} and S3={z∈C:Im(z)≤1}S_3 = \{z \in \mathbb{C} : \mathrm{Im}(z) \le 1\}. Then, the set S1∩S2∩S3S_1 \cap S_2 \cap S_3
Complex Numbers and Quadratic Equations - Hard - Question