JEE MAIN - Mathematics Hindi (2022 - 28th July Morning Shift - No. 12)

माना $$S_{1}=\left\{z_{1} \in \mathbf{C}:\left|z_{1}-3\right|=\frac{1}{2}\right\}$$ तथा $$S_{2}=\left\{z_{2} \in \mathbf{C}:\left|z_{2}-\right| z_{2}+1||=\left|z_{2}+\right| z_{2}-1||\right\}$$ हैं। तो। $$z_{1}$$ $$\epsilon S_{1}$$ तथा $$z_{2} \in S_{2}$$ के लिए, $$\left|z_{2}-z_{1}\right|$$ का निम्नतम मान है :
0
$$\frac{1}{2}$$
$$\frac{3}{2}$$
$$\frac{5}{2}$$

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