If z is a complexnumber 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`

If z is a complexnumber of unit modulus and argument q, then `a r g((1

1.	If z is a complexnumber 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`
Answer» Correct Answer - C Given \|z\| =1 arg z= `theta` :. Z = `e^itheta` `therefore barz =e^(-itheta)rArr bar z = 1/z` `therefore arg (1+z)/(1+z)=arg (1+z/1+1/z)=arg (z)= theta`

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If z is a complexnumber 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`

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