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If z is a comple number such that -(pi...

If z is a comple number such that `-(pi)/(2) lt "arg z" le (pi)/(2)`, then which of the following inequalities is ture ?

A

`|z - barz| le |z| (arg z - arg barz)`

B

`|z-barz| ge |z| (arg z - arg barz)`

C

`|z -bar z| lt (arg z - arg barz)`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
A

`|z-barz|=AB`
while `|z|(argz-arg barz)=" Arc "AB`
`therefore" " |z-barz\|le|z|("arg "z-"arg "barz)`
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