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BITSAT2020MathematicsComplex NumberActual

If |z₁ |= |z₂ |= . . |z_ n |=1, then the value of |z₁+z₂+ . z_ n |- | 1 z₁ + 1 z₂ + .+ 1 z_ n | is,

Options

  1. A0
  2. B1
  3. C-1
  4. DNone

Correct answer

A. 0

Step-by-step solution

z₁ z ₁=z₂ z ₂= .=z_ n z _ n =1 z ₁= 1 z ₁ , z ₂= 1 z ₂ , z ₃= 1 z ₃ , , z _ n = 1 z _ n |z₁+z₂+ .+z_ n |- | 1 z₁ + 1 z₂ + .+ 1 z_ n |= |z₁+z₂+ +z_ n |- | z ₁+ z ₂+ .+ z _ n |=0

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