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If z lies on unit circle with center at ...

If z lies on unit circle with center at the origin, then `(1+z)/(1+barz)` is equal to

A

z

B

`barz`

C

`z+barz`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
A
We have,
`|z|=1 rArr |z^(2)|=1 rArr zbarz=1`
`therefore (1+z)/(1+barz) = (zbarz+z)/(1+barz) = (z(barz+1))/(1+barz)=z`
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