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Let z be a complex number such that the ...

Let z be a complex number such that the principal value of argument, `argzgt0`. Then `argz-arg(-z)` is

A

`(pi)/(2)`

B

`pmpi`

C

`pi`

D

`-pi`

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Knowledge Check

  • If z is complex number such that |z|ge2 , minimum value of |z+(1)/(2)| -

    A
    is equal to `(5)/(2)`
    B
    lies in the interval (1,2)
    C
    in stictly greater than `(5)/(2)`
    D
    is strictly than `(3)/(2) "but less than" (5)/(2)`

  • If argzlt0 , then arg(-z)-argz is equal to

    A
    `pi`
    B
    `-pi`
    C
    `-pi/2`
    D
    `pi/2`

  • Let z be a complex number such that the imaginary part of z is non zero and a=z^2+z+1 is real then a cannot take the value

    A
    (-1)
    B
    (1/3)
    C
    (1/2)
    D
    (3/4)

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