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Let S={z in C:z(iz(1)+1,|z(1)| lt 1}. Th...

Let `S={z in C:z(iz_(1)+1,|z_(1)| lt 1}`. Then, for all `z in S`, which one of the following is always true?

A

Re z + lm z `lt` 0

B

Re z `lt 0`

C

Re z + lm `z gt 1`

D

Re z - lm z `lt` 0

Text Solution

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The correct Answer is:
D
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