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Reduce (1/(1-4i) -2/(1+i))((3-4i)/(5+i))...

Reduce `(1/(1-4i) -2/(1+i))((3-4i)/(5+i))` to the standard form.

Text Solution

Verified by Experts

The correct Answer is:
`(307 + 599i)/442`
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Knowledge Check

  • Inverse of (3+4i)/(4-5i)

    A
    `-(8)/(25)+(31)/(25)i`
    B
    `(8)/(25)+(31)/(25)i`
    C
    `-(8)/(25)-(31)/(25)i`
    D
    `(8)/(25)+(31)/(25)i`

  • If z=(1+2i)/(1-(1-i)^(2)) then arg (z).....

    A
    0
    B
    `(pi)/(2)`
    C
    `pi`
    D
    None of these

  • If z=(1+7i)/((2-i)^(2) then......

    A
    `|z|=2`
    B
    `|z|=(1)/(2)`
    C
    `arg(z)=(pi)/(4)`
    D
    `arg(z)=(3pi)/(4)`

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