Read the following passage and answer the questions. Let A, B, C be three sets of a complex number as defined below
A= {z: lm z≥1}
B={z:|z-2-i|=3}
C={z : Re((1-i)z+√2}
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
(a) -6 and 3
(b) -3 and 6
(c) -6 and 6
(d) -3 and 9
