Maharashtra State BoardHSC Science (Electronics) 11th
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Select the correct answer from the given alternatives: If n is an odd positive integer then the value of 1 + (i)2n + (i)4n + (i)6n is : - Mathematics and Statistics

MCQ

Select the correct answer from the given alternatives:

If n is an odd positive integer then the value of 1 + (i)2n + (i)4n + (i)6n is :

Options

  • −4i

  • 0

  • 4i

  • 4

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Solution

0

Explanation;

1 + (i2)n + (i4)n + (i2)3n

= 1 – 1 + 1 – 1   …(n odd positive interger)

= 0

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APPEARS IN

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