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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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Answer» Correct Answer - 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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