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If the conjugate of a complex numbers is...

If the conjugate of a complex numbers is `1/(i-1)`, where `i=sqrt(-1)`. Then, the complex number is

A

`(1)/(i-1)`

B

`(-1)/(i-1)`

C

`(1)/(i+1)`

D

`(-1)/(i+1)`.

Text Solution

Verified by Experts

The correct Answer is:
D
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The conjugate of a complex number is 1/(i-1) . Then the complex number is (1) (-1)/(i-1) (2) 1/(i+1) (3) (-1)/(i+1) (4) 1/(i-1)

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Knowledge Check

  • The conjugate of a complex number is 1/(i-1) . Then, that complex number is

    A
    `1/(l-1)`
    B
    `-1/(l-1)`
    C
    `1/(l+1)`
    D
    `-1/(l+1)`
  • The conjugate of a complex number is (1)/( i - 1) . Then the complex number is :

    A
    `(-1)/(i - 1)`
    B
    `(1)/( i + 1)`
    C
    `(-1)/( i + 1)`
    D
    `(1)/(i - 1)`
  • What is the argument of the complex number (-1-i), where i=sqrt(-1) ?

    A
    `(5pi)/4`
    B
    `-(5pi)/4`
    C
    `(3pi)/4`
    D
    None of these
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