Let A, B, C be 3 sets of complex numbers such that :- A = { z : |z+1| B = { z : |z-1| >= 1 }C = { z : |(z-1)/(z+1)| >=1 } (i) Number of points having integral coordinates in A∩B∩C are ______. (ii) Area of region bounded by A∩B∩C is _____. (iii) Real part of complex number in the region which has maximum amplitude/argument is _____.
Let A, B, C be 3 sets of complex numbers such that :-
A = { z : |z+1|
B = { z : |z-1| >= 1 }
C = { z : |(z-1)/(z+1)| >=1 }
(i) Number of points having integral coordinates in A∩B∩C are ______.
(ii) Area of region bounded by A∩B∩C is _____.
(iii) Real part of complex number in the region which has maximum amplitude/argument is _____.