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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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प्रश्न

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 :

विकल्प

  • −1

  • 1

  • 0

  • 3

MCQ

उत्तर

0

Explanation:

ω99+ ω100 + ω101

= ω99 (1 + ω + ω2)

= ω99 (0)

= 0

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Cube Root of Unity
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 1: Complex Numbers - Miscellaneous Exercise 1.1 [पृष्ठ २१]

APPEARS IN

बालभारती Mathematics and Statistics 2 (Arts and Science) [English] 11 Standard Maharashtra State Board
अध्याय 1 Complex Numbers
Miscellaneous Exercise 1.1 | Q I. (4) | पृष्ठ २१

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