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Let A,B and C be three sets of complex n...

Let A,B and C be three sets of complex numbers as defined below: `{:(,A={z:Im(z) ge 1}),(,B={z:abs(z-2-i)=3}),(,C={z:Re(1-i)z)=3sqrt(2)"where" i=sqrt(-1)):}`
Let z be any point in `A cap B cap C`. Then, `abs(z+1-i)^(2)+abs(z-5-i)^(2)` lies between

A

TTT

B

T T F

C

T F T

D

F F F

Text Solution

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The correct Answer is:
A
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