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Grade 11Vectors

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 _____.

Profile image of AB
10 Years agoGrade 11
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1 Answer

Profile image of Sourabh Singh
10 Years ago
Hii

I am helping you out in finding the area related to complex numbers.
1 It’s incomplete either equality of inequality must be there
2 Its the region outside the area of the circle with centre (1,0)
3 Its the region towards (1,0) from midpoint of the segment joined by (1,0) and (-1,0)