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JEE Main Mathematics Complex Number 2026 JEE Main 2026 (28 January Shift 2)

JEE Main Mathematics Question (2026) — Solution

Question

Let A=\ z C :|z-2| 4\ and B=\ z C :|z-2|+|z+2|=5\ . Then the max \ |z_ 1 -z_ 2 |: z_ 1 ~A . and .z_ 2 ~B \ is :

Options

  1. A. 17 2
  2. B. 8
  3. C. 9
  4. D. 15 2

Answer

A. 17 2

Step-by-step solution

|z - 2| 4 (x - 2)^2 + y^2 16 |z - 2| + |z + 2| = 5 x^2 a^2 + y^2 b^2 = 1 4x^2 25 + 4y^2 9 = 1 Maximum value of |z_1 - z_2| = 6 + 5 2 = 17 2

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