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Write the least positive integral value ...

Write the least positive integral value of `n` for which `((1+i)/(1-i))^n` is real.

A

1

B

2

C

3

D

4

Text Solution

Verified by Experts

The correct Answer is:
B
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Knowledge Check

  • The smallest positive integral value of n for which ((1-i)/( 1+i))^(n) is purely imaginary with positive imaginary part is :

    A
    A)1
    B
    B)3
    C
    C)4
    D
    D)5

  • The smallest positive integral value of n for which ((1-i)/(1+i))^(n) is purely imaginary with positive imaginary part is

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    B
    3
    C
    4
    D
    5

  • The smallest positive integral value of n for which (1+i)^(2n)=(1-i)^(2n) is

    A
    1
    B
    4
    C
    2
    D
    5

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    Find the smallest positive integer value of n for which ((1+i)^(n-2))/((1-i)^(n-2)) is a real number.

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