If (w- bar(w)z)/(1-z) is purely real whe...

If `(w- bar(w)z)/(1-z)` is purely real where `w= alpha + ibeta, beta ne 0 and z ne 1`, then the set of the values of z is

A

`[z:|z|=1]`

B

`[z:z= bar(z)]`

C

`[z:z ne 1]`

D

`[z: |z|=1, z ne 1]`

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The correct Answer is:

D

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