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Let z(1) =2-I, z(2) =-2 + i, Find (i) ...

Let `z_(1) =2-I, z_(2) =-2 + i`, Find
(i) `(Re(z_(1)z_(2))/barz_(1))`, (ii) `Im(1/(z_(1)barz_(1)))`

Text Solution

Verified by Experts

The correct Answer is:
(i) `-2/5`, (ii) 0
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Knowledge Check

  • If |z_(1) | = |z_(2)| = 1 , then |z_(1) + z_(2)| =

    A
    `|(1)/(z_(1)) + (1)/(z_(2))|`
    B
    `| (1)/(z_(1)) - (1)/(z_(2))|`
    C
    `| (1)/(z_(1)) * (1)/(z_(2))|`
    D
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  • If z_(1) = 1 , z_(2) = i and A = Arg (z_(1) z_(2)) B = Arg ((z_(1))/(z_(2))) , C = Arg (z_(1) + z_(2)) , D = Arg (z_(1) - z_(2)) arrange A , B , C , D in ascending order

    A
    A , C ,D , B
    B
    B, D , C , A
    C
    B , C , D , A
    D
    B , A , D , C

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