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If ((1+i)/(1-i))^(m)=1, then find the le...

If `((1+i)/(1-i))^(m)=1`, then find the least positive integral value of m.

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Knowledge Check

  • I : The modulus of (sqrt(3)+i)/((1+i)(1+sqrt(3)i))" is " 1/sqrt(2) II : The least positive integral value of n for which ((1-i)/(1+i))^(2n)=1" is " 2

    A
    only I is true
    B
    only II is true
    C
    both I and II are true
    D
    neither I nor II are true

  • I: The modulus of (sqrt3 + i)/((1 + i) (1 + sqrt3i)) is (1)/(sqrt2) II : The least positive value of n for which ((1 - i)/(1 + i))^(n)= 1 is 2 Which of the statements are true

    A
    only I
    B
    only II
    C
    Both I & II
    D
    neither I nor II

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

    A
    2
    B
    3
    C
    4
    D
    5

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