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MathsJEE Main 28 Jan 2026, Shift 2·Q18·MCQ·Moderate

Complex Numbers · Locus and maximum modulus

Let A={z∈C:∣z−2∣≤4}andB={z∈C:∣z−2∣+∣z+2∣=5}.A = \{z \in \mathbb{C} : \lvert z - 2\rvert \le 4\} \quad\text{and}\quad B = \{z \in \mathbb{C} : \lvert z - 2\rvert + \lvert z + 2\rvert = 5\}. Then the max⁡{∣z1−z2∣:z1∈A and z2∈B}\max\{\lvert z_1 - z_2\rvert : z_1 \in A \text{ and } z_2 \in B\} is
  1. (1)152\dfrac{15}{2}
  2. (2)8
  3. (3)172\dfrac{17}{2}
  4. (4)9

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