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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 _____.

Grade:11

1 Answers

Sourabh Singh IIT Patna
askIITians Faculty 2104 Points
6 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)

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