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If z is a complex number of unit modu...

If z is a complex number of unit modulus and argument q, then `a r g((1+z)/(1+ bar z))` equal (1) `pi/2-theta` (2) `theta` (3) `pi-theta` (4) `-theta`

A

`-theta`

B

`(pi)/(2 ) - theta`

C

`theta`

D

`pi-theta`

Text Solution

Verified by Experts

The correct Answer is:
C
Since `|z| = 1, z.barz= 1`
`therefore arg((1+z)/(1+z)) = arg((1+z)/(1+(1)/(z)))= arg=((1+z)/(z+1))`
`=argz = theta`
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