Let \( S_{1}, S_{2} \) and \( S_{3} \) be three sets defined as
\[
\begin{array}{l}
S_{1}=\{z \i... VIDEO
Let \( S_{1}, S_{2} \) and \( S_{3} \) be three sets defined as
\[
\begin{array}{l}
S_{1}=\{z \in c:|z-1| \leq \sqrt{2}\}, S_{2}=\{z \varepsilon c: \operatorname{Re}((1-i) z) \geq 1\}, S_{3} \\
=\{z \in c: \operatorname{im}(z) \leq 1\} \text {. Then the set } S_{1} \cap S_{2} \cap S_{3}
\end{array}
\]
(a) has infinitely many elements
(b) has exactly two elements
(c) has exactly three elements
(d) is a singleton
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