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Find the real value of a for which 3i^3-...

Find the real value of a for which `3i^3-2a i^2+(1-a)i+5` is real.

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The correct Answer is:
-2
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Knowledge Check

  • Find the real values of x and y for which ((x-1)/(3+i)+(y-1)/(3-i))=i .

    A
    `-4,6`
    B
    `4,-6`
    C
    `-2,3`
    D
    `-3,3`

  • The real value of theta for which the expression (1 - i sin theta)/( 1 + 2 i sin theta) is purely real is

    A
    `n pi`
    B
    `(n + 1) pi// 2 `
    C
    `(2 n + 1) pi//2`
    D
    None

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    The smallest positive integral value of n for which (1+sqrt(3)i)^((pi)/(2)) is real is

    Find the real values of x and y for which (1+i)y^(2)+(6+i)=(2+i)x

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