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If z(1) =2 -i, z(2)=1+i, find |(z(1) + z...

If `z_(1) =2 -i, z_(2)=1+i`, find `|(z_(1) + z_(2) + 1)/(z_(1)-z_(2) + 1)|`

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The correct Answer is:
`sqrt(2)`
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Knowledge Check

  • Let z_(1)andz_(2) be complex numbers such that z_(1)nez_(2)and|z_(1)|=|z_(2)| . If Re(z_(1))gt0andIm(z_(2))lt0 , then (z_(1)+z_(2))/(z_(1)-z_(2)) is

    A
    one
    B
    real and positive
    C
    real and negative
    D
    purely imaginary
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