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If z(1),z(2) and z(3), z(4) are two pair...

If `z_(1),z_(2)` and `z_(3), z_(4)` are two pairs of conjugate complex numbers, the find the value of `arg(z_(1)/z_(4)) + arg(z_(2)//z_(3))`.

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) = (argZ_1-argZ_4) + (argZ_2-argZ_3) = (argZ_1 +argZ_2) - (argZ_3+argZ_4) = 0`
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