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Tamil Nadu Board of Secondary EducationHSC Science Class 12

Choose the correct alternative: The value of ii(1+3i1-3i)10 is - Mathematics

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Question

Choose the correct alternative:

The value of `((1 + sqrt(3)"i")/(1 - sqrt(3)"i"))^10` is

Options

  • `cis  (2pi)/3`

  • `cis  (4pi)/3`

  • `- cis  (2pi)/3`

  • `- cis  (4pi)/3`

MCQ

Solution

`cis  (2pi)/3`

shaalaa.com
Modulus of a Complex Number
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Chapter 2: Complex Numbers - Exercise 2.9 [Page 94]

APPEARS IN

Samacheer Kalvi Mathematics - Volume 1 and 2 [English] Class 12 TN Board
Chapter 2 Complex Numbers
Exercise 2.9 | Q 24 | Page 94
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