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Question

If k>0,|z|=k and w=zkz+k, then Re(w) equals


A

0

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B

k

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C

1k

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D

1k

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Solution

The correct option is A

0


|z|=k|z|2=k2 or z¯z=k2
Next
2Re(w)=w+¯w=zkz+k+¯zk¯z+k
Using ¯z=k2z,
we get 2Re(w)=0
Re(w)=0


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