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Select the correct answer from the given alternatives: If ω is a complex cube root of unity, then the value of ω99+ ω100 + ω101 is : - Mathematics and Statistics

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Question

Select the correct answer from the given alternatives:

If ω is a complex cube root of unity, then the value of ω99+ ω100 + ω101 is :

Options

  • −1

  • 1

  • 0

  • 3

MCQ

Solution

0

Explanation:

ω99+ ω100 + ω101

= ω99 (1 + ω + ω2)

= ω99 (0)

= 0

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Cube Root of Unity
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Chapter 1: Complex Numbers - Miscellaneous Exercise 1.1 [Page 21]

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Balbharati Mathematics and Statistics 2 (Arts and Science) [English] 11 Standard Maharashtra State Board
Chapter 1 Complex Numbers
Miscellaneous Exercise 1.1 | Q I. (4) | Page 21

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