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JEE Main2005MathematicsComplex NumberActual

If z₁ and z₂ are two non-zero complex numbers such that |z₁+z₂ |= |z₁ |+ |z₂ | then z₁- z₂ is equal to

Options

  1. A2
  2. B-
  3. C0
  4. D- 2

Correct answer

C. 0

Step-by-step solution

|z₁+z₂ |= |z₁ |+ |z₂ | z₁ and z₂ are collinear and are to the same side of origin; hence z₁- z₂=0 .

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