QJEEM25Ma943c: JEE Main 2025 Mathematics - Class 11 JEEM25Ma943c Solution: Let and , . Then the minimum value of is :

Question

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Let $|z_1 − 8−2i| \leq 1$ and $|z_2−2+6i| \leq 2$ , $z_1, z_2 \in \mathbb{C}$ . Then the minimum value of $|z_1 − z_2|$ is :

Accepted Answer

JEE Main 2025 (Online) 29th January Morning Shift Mathematics - Complex Numbers Question 10 English Explanation

$\begin{aligned} ∵ AB = \sqrt{100} = 10 \\ ∴ {| Z_{1} - Z_{2} |}_{min} = 10 - 2 - 1 = 7 \end{aligned}$

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