Paragraph for Question Nos. 21 to 23 Let A, B, C be three sets of complex numbers as defined below A = {z : Imz ≥ 1} B = {z : |z –2 –i| = 3} C = {z : Re ((1 –i) z) = √2}. 1. 21. The number of elements in the set A ∩ B ∩ C is   0   1   2   ∞   Hint Half-n-half Clue   2. 22. Let z be any point in A ∩ B ∩ C. Then, |z + 1 – i|2 + |z –5 – i|2 lies between   25 and 29   30 and 34   35 and 39   40 and 44   Half-n-half Clue   3. 23. 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   –6 and 3   –3 and 6   –6 and 6   –3 and 9   Half-n-half Clue