Question

Let A, B, C be three sets of complex numbers as defined below
[JEE 2008, 4M, -1M)
A = {z: Im z≥1}
B = {z:|z-2-il=3}
C = {z: Re((1 - i)z) = root2}
1.The number of elements in the set ABC is -
(A) O
(B) 1
(C) 2
(D)infinite
2.
Let z be any point in ABC. Then 12 + 1 - i|2 + 12 - 5 - ill lies between -
(A) 25 and 29
(B) 30 and 34
(C) 35 and 39
(D) 40 and 44
3.
Let z be any point in AB n C and let o be any point satisfying lo-2-il <3. Then, 21-10 + 3
lies between -
(A) -6 and 3
(B) -3 and 6
(C) 6 and 6
(D) 3 and 9​

Answer 1

Answer:

Step-by-step explanation:

1.(B)

2.(A)

3.(B)