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Let S(1), S(2) and S(3) be three sets de...

Let `S_(1), S_(2) and S_(3)` be three sets defined as
`S_(1)={z in CC:|z-1| le sqrt(2)}`
`S_(2)={z in CC : Re((1-i)z) ge1}`
`S_(3)={z in CC : Im(z) le 1}`
Then the set `S_(1)cap S_(2) cap S_(3)`

A

has exactly three elements

B

is a singleton

C

has infinitely many elements

D

has exactly two elements

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