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If |w|=1, then the set of points z=w+(1)...

If `|w|=1`, then the set of points `z=w+(1)/(w)` is contained in or equal to the set of points z satisfying

A

`|Re)(z)| le 2 and Im)(z)=0`

B

`|Re)(z)| le 1 and Im)(z)=0`

C

`|Re)(z)| le 2 and Im)(z)=0`

D

`|Re)(z)|lt1 and Im)(z)=0`

Text Solution

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The correct Answer is:
C
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