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If the conjugate of a complex number z i...

If the conjugate of a complex number z is `(1)/(i-1)`, then z is

A

`(1)/(i-1)`

B

`(1)/(i+1)`

C

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

D

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

Text Solution

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The correct Answer is:
D
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Knowledge Check

  • If the real part of the complex number z = (p+2i)/(p-i) , p in RR , p gt 0 is (1)/(2) then the value of p is equal to

    A
    `sqrt(2)`
    B
    `sqrt(3)`
    C
    `sqrt(5)`
    D
    `(sqrt(3))/(2)`
  • Let z denote a complex number and defined S= {(1)/(1-z)|z|=1 and z ne 1} . Which of the following best describes the locus of set S?

    A
    S is a straight line parallel to the imaginary axis
    B
    S is straight line parallel to the real axis
    C
    S is a circle with a single point missing
    D
    S is a brach of hyperbola
  • Let w ne pm 1 be a complex number. If |w| =1 and z = (w -1)/(w +1), then R (z) is equal to

    A
    1
    B
    `(1)/(|w +1|)`
    C
    `Re (w)`
    D
    0
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