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If ((1+i)/(1-i))^(x)=1, then...

If `((1+i)/(1-i))^(x)=1`, then

A

`x= 2n`, where n is any positive integer

B

`x= 4n+1`, where n is any positive integer

C

`x= 2n+1`, where n is any positive integer

D

`x= 4n`, where n is any positive integer

Text Solution

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The correct Answer is:
D
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Knowledge Check

  • If ((1 + i)/(1 - i))^(3) - ((1 - i)/(1 + i))^(3) = x + iy then (x, y) = …….

    A
    `(0, -2)`
    B
    `(-2,0)`
    C
    `(0,2)`
    D
    `(2,0)`

  • ((1 - i)/(1+ i))^(100) = a + ib then (a,b) is ……….

    A
    `(2, -1)`
    B
    `(1 , 0)`
    C
    `(0,1)`
    D
    `(-1,2)`

  • The modular of ((-1 + i)(1 - i))/(1 + isqrt(3)) is _____

    A
    `sqrt(2)`
    B
    2
    C
    1
    D
    `(1)/(2)`

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