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If z(1),z(2),z(3),z(4) are two pairs of...

If ` z_(1),z_(2),z_(3),z_(4)` are two pairs of conjugate complex numbers, then `arg(z_(1)/z_(3)) + arg(z_(2)/z_(4))` is

A

`(pi)/2`

B

`pi`

C

`(3pi)/2`

D

0

Text Solution

Verified by Experts

The correct Answer is:
D
`arg(z_(1)//z_(4))+arg(z_(2)//z_(3))=(arg_(1)-argz_(4))+(argz_(2)-argz_(3))=(argz_(1)+argz_(2))-(argz_(3)+argz_(4)=0`
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