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Which one of the following is correct in respect of the cube roots of unity?
- a)They are collinear
- b)They lie on a circle of radius √3
- c)They form an equilateral triangle
- d)None of the above
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
Which one of the following is correct in respect of the cube roots of ...
Assume that the cube root of 1 
z.
Then, cubing both sides we get, z3 = 1
Therefore, either z – 1 = 0
Therefore,
Therefore, the three cube roots of unity are
among them 1 is real number and the other two are conjugate complex numbers and they are also known as imaginary cube roots of unity.
∆ is equilateral.
z.Then, cubing both sides we get, z3 = 1
Therefore, either z – 1 = 0
Therefore,
Therefore, the three cube roots of unity are
among them 1 is real number and the other two are conjugate complex numbers and they are also known as imaginary cube roots of unity.∆ is equilateral.
Most Upvoted Answer
Which one of the following is correct in respect of the cube roots of ...
1c) They lie on a circle of radius 1
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Which one of the following is correct in respect of the cube roots of unity?a)They are collinearb)They lie on a circle of radius √3c)They form an equilateral triangled)None of the aboveCorrect answer is option 'C'. Can you explain this answer?
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