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Tamil Nadu Board of Secondary EducationHSC Science Class 12

Choose the correct alternative: If ω ≠ 1 is a cubic root of unity and |1111-ω2-1ω21ω2ω7| = 3k, then k is equal to

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Question

Choose the correct alternative:

If ω ≠ 1 is a cubic root of unity and `|(1, 1, 1),(1, - omega^2 - 1, omega^2),(1, omega^2, omega^7)|` = 3k, then k is equal to

Options

  • 1

  • – 1

  • `sqrt(3)"i"`

  • `- sqrt(3)"i"`

MCQ
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Solution

`- sqrt(3)"i"`

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de Moivre’s Theorem and Its Applications
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Chapter 2: Complex Numbers - Exercise 2.9 [Page 94]

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Samacheer Kalvi Mathematics - Volume 1 and 2 [English] Class 12 TN Board
Chapter 2 Complex Numbers
Exercise 2.9 | Q 23 | Page 94
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