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JEE Main202628 January 2026Evening ShiftMathematicsComplex NumberActual

Let A= z C :|z-2| 4 and B= z C :|z-2|+|z+2|=5 . Then the max |z₁-z₂ |: z₁ ~A . and .z₂ ~B is :

Options

  1. A17 2
  2. B8
  3. C9
  4. D15 2

Correct 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 |z₁ - z₂| = 6 + 5 2 = 17 2

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