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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)=sqrt(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

(a) 25 and 29

B

(b) 30 and 34

C

(c) 35 and 39

D

(d) 40 and 44

Text Solution

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The correct Answer is:
C
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