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Let z,w be complex numbers such that bar...

Let `z,w` be complex numbers such that `barz+ibarw=0` and `arg zw=pi` Then `argz` equals

A

`(pi)/(4)`

B

`(pi)/(2)`

C

`(3pi)/(4)`

D

`(5pi)/(4)`

Text Solution

Verified by Experts

The correct Answer is:
C
`barz+ibarw=0`
`rArrz-iw=0`
`rArrz=iw`
`"arg " zw=pi`
or `"arg "z+"arg"(z)/(i)=pi`
or `"arg "z+"arg "z-"arg "i=pi`
or `"arg "z+"arg "z-"arg "i=pi`
or `2" arg "z-(pi)/(2)=pi`
or `2" arg "z=(3pi)/(2)`
or `"arg " z = (3pi)/(4)`
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