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Z is a complex number. If I Z l = 4 and ...

Z is a complex number. If I Z l = 4 and `arg(Z)=(5pi)/6`,then the value of Z is

A

a)`-2sqrt3`+2i`

B

b)`2sqrt3+2i`

C

c)`2sqrt3-2i`

D

d)`-sqrt3+i`

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Knowledge Check

  • If z and w are two non-zero complex numbers such that |z| =|w|and arg z + arg w =pi, then the value of z is equal to-

    A
    w
    B
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    B
    `4(cso(pi)/(4)+isin""(pi)/(4))`
    C
    `3(cso(pi)/(4)-isin""(pi)/(4))`
    D
    `3(cso(pi)/(4)+isin""(pi)/(4))`

  • If z =(-2)/(1+sqrt3i), then the value of arg(z) is-

    A
    `pi/3`
    B
    `pi/6`
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    `-pi/3`
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