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If the complex numbers is (1+ri)^(3)=lam...

If the complex numbers is `(1+ri)^(3)=lambda(1+i)`, when `i=sqrt(-1)`, for some real `lambda`, the value of r can be

A

`cosfrac(pi)(5)`

B

`cosecfrac(3pi)(2)`

C

`cosfrac(pi)(12)`

D

`cosecfrac(pi)(12)`

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Knowledge Check

  • 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

  • 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

  • What is the argument of the complex number ((1+i)(2+i))/(3-i) , where i = sqrt(-1) ?

    A
    0
    B
    `(pi)/(4)`
    C
    `- ( pi )/( 4)`
    D
    `(pi)/(2)`

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