Complex Numbers 5 Question 15

16.

The cube roots of unity when represented on Argand diagram form the vertices of an equilateral triangle.

(1988, 1M)

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Answer:

Correct Answer: 16. True

Solution:

  1. Since, cube root of unity are 1,ω,ω2 given by

A(1,0),B(12,32),C(12,32)AB=BC=CA=3

Hence, cube roots of unity form an equilateral triangle.



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