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Complex numbers z(1) and z(2) lie on the...

Complex numbers `z_(1)` and `z_(2)` lie on the rays arg(z1)`=theta` and arg(z1)`=-theta` such that `|z_(1)|=|z_(2)|`. Further, image of `z_(1)` in y-axis is `z_(3)`. Then, the value of arg `(z_(1)z_(3))` is equal to

A

`pi/2`

B

`-pi/2`

C

`pi`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
C
Clearly, R `(z_(3))` lies on QO produced such that OQ=OR.
`therefore` arg `(z_(3))=pi-theta`
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