Complex Numbers

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Let A, B, C be three sets of complex numbers as defined below
A = {z :Im z ≥ 1}
B = {z : |z - 2 - i| = 3}
C = {z : Re ((1 - i) z) = 2}
Section: Mathematics
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Question : 36 of 36
 
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Let z be any point in A ∩ B ∩ C and let w be any point satisfying |w - 2 - i| < 3. Then |z| - |w| + 3 lies between
[JEE Adv 2008 P1]
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