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Let z1 and z2q, be two complex numbers ...

Let `z_1 and z_2`q, be two complex numbers with `alpha and beta` as their principal arguments such that `alpha+beta` then principal `arg(z_1z_2)` is given by:

A

`alpha+beta+pi`

B

`alpha+beta-pi`

C

`alpha+beta-2pi`

D

`alpha+beta`

Text Solution

Verified by Experts

The correct Answer is:
C
`(c )` `arg(z_(1)z_(2))=arg(z_(1))+arg(z_(2))+2mpi`, `m in I`
`:.` Principal argument `=alpha+beta-2pi`
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