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Sticky Note
The product of all three cube roots of unity is ?
  1. 1
  2. 0
  3. ω
  4. 0
Explanation

The cube roots of unity are:  

1, ω, and ω², where:


- ω = -1/2 + (√3/2)i  

- ω² = -1/2 - (√3/2)i  


These are the complex cube roots of unity, and they satisfy:


1 + ω + ω² = 0  

and  

1 × ω × ω² = 1


Related MCQs

  1. (t² + 4)(t - 2)(t - 2)
  2. (t² - 4)(t² - 4)
  3. (t² + 4)(t + 2)(t - 2)
  4. None of these
اس سوال کو وضاحت کے ساتھ پڑھیں

  1. +4
  2. -4
  3. +16
  4. None of these
اس سوال کو وضاحت کے ساتھ پڑھیں

  1. 2 + 3i
  2. −2 + 3i
  3. −2 − 3i
  4. 3 − 2
اس سوال کو وضاحت کے ساتھ پڑھیں

  1. (x − 5)(x + 1)
  2. (x − √5)(x + √5)
  3. (x − 2)(x + 3)
  4. (x − 1)(x + 5)
اس سوال کو وضاحت کے ساتھ پڑھیں

  1. a = 1/2, b = 1/3
  2. a = 7/16, b = 3/4
  3. a = 3/4, b = 7/16
  4. a = 2, b = 1
اس سوال کو وضاحت کے ساتھ پڑھیں

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