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AP EAMCET20227 Jul 2022Morning ShiftMathematicsComplex NumberActual

If the complex number z₁, z₂, 0 are vertices of an equilateral triangle, then z₁^2+z₂^2=

Options

  1. A2 z₁^2 z₂^2
  2. Bz₁^2 z₂^2
  3. C2 z₁ z₂
  4. Dz₁ z₂

Correct answer

D. z₁ z₂

Step-by-step solution

If z₁, z₂ and z₃ represents the vertices of an equilateral triangle, then z₁^2+z₂^2+z₃^2=z₁ z₂+z₂ z₃+z₃ z₁ In this question, z₁^2+z₂^2=z₁ z₂

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