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If z1,z2 and z3,z4 are two pairs of conj...

If `z_1,z_2` and `z_3,z_4` are two pairs of conjugate complex numbers then `arg(z_1/z_4)+arg(z_2/z_3)=`

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We have,`z_(2) =barz_(1)` and `z_(4) = barz_(3)` Therefore,
`z_(1)z_(2) = |z_(1)|^(2) and z_(3)z_(4) = |z_(3)|^(2)`
Now, `arg((z_(1))/(z_(4))) + arg((z_(2))/(z_(3))) = arg((z_(1)z_(2))/(z_(4)z_(3)))= arg((|z_(1)|^(2))/(|z_(3)|^(2))) = arg(|(z_(1))/z_(3)|^(2))=0`
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