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What is the real part of the number 5i?...

What is the real part of the number 5i?

A

0

B

4

C

1

D

5

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Knowledge Check

  • What is the real part of ( sin x + icos x )^(3) , where i= sqrt( -1) ?

    A
    `-cos 3x`
    B
    `- sin3x`
    C
    `sin 3x`
    D
    `cos 3x`

  • The real part of the complex number z satisfying |z-1-2i|le1 and having the least positive argument, is

    A
    `(4)/(5)`
    B
    `(8)/(5)`
    C
    `(6)/(5)`
    D
    `(7)/(5)`

  • For a complex number z, the product of the real parts of the roots of the equation z^(2)-z=5-5i is (where, i=sqrt(-1) )

    A
    `-25`
    B
    `-6`
    C
    `-5`
    D
    25

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    Let 'A' denotes the real part of the complex number z=(19+7i)/(9-i)+(20+5i)/(7+6i) and 'B' denotes the sum of the imaginary parts of the roots of the equation z^2 – 8(1 – i)z + 63 – 16i = 0 and 'C' denotes the sum of the series, 1 + i + i^2 + i^3 + ..... + i^(2008) where i =sqrt(-1) and D' denotes the value of the product (1+omega)(1+omega^2)(1+omega^4)(1-omega^8) where omega is the imaginary cube root of unity . Find the value of (A-B)/(C+D)

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