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Jee Main 2025 — Medium JEE math MCQ

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:
  1. A. \quad 13 \\
  2. B. \quad 10 \\
  3. C. \quad 3 \\
  4. D. \quad 7 \\

Solution

The correct option is **D**. (D. \quad 7 \\ \end{align*} \])

MATH

medium • PYQ Reworded
Question
Read carefully, then pick the best option.
Let ∣z1−8−2i∣≤1 |z_1 - 8 - 2i| \leq 1 and ∣z2−2+6i∣≤2,z1,z2∈C |z_2 - 2 + 6i| \leq 2, z_1, z_2 \in \mathbb{C} . Then the minimum value of ∣z1−z2∣ |z_1 - z_2| is:
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Jee Main 2025 — Medium JEE Mathematics MCQ | MyGoalPrep