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The points representing cube roots of unity

a)

Are collinear

b)

Lie on a circle of radius

c)

From an equilateral triangle

d)

None of these



Question ID - 102816 | SaraNextGen Top Answer

The points representing cube roots of unity

a)

Are collinear

b)

Lie on a circle of radius

c)

From an equilateral triangle

d)

None of these

1 Answer
127 votes
Answer Key / Explanation : (c) -

(c)

The cube roots or unity are  Let  and  represent  and  respectively. Clearly,

 and

Thus, points representing  form an equilateral triangle.

ALITER Let  and  Then,

Hence, points representing  form an equilateral triangle

127 votes


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