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let A,B,C be three sets of complex number such that A={z:|z+1| =1} and C={z:|z-1| >=1} ----- |z+1| i) The no. Of point(s) having integral coordinates in the region A (intersection) B (intersection) C is A) 4. B) 5. C) 6. D) 10 ii) The real part of of the complex no. In the region A (intersection) B (intersection) C and havong max amplitude is )-1 B)-3/2 C)-1/2 D)-2

let A,B,C be three sets of complex number such that A={z:|z+1|<=2+Re(z)},B={z:|z-1|>=1} and C={z:|z-1| >=1}
-----
|z+1|

i) The no. Of point(s) having integral coordinates in the region A (intersection) B (intersection) C is
A) 4. B) 5. C) 6. D) 10

ii) The real part of of the complex no. In the region A (intersection) B (intersection) C and havong max amplitude is
)-1 B)-3/2 C)-1/2 D)-2

Grade:12

1 Answers

sudhir pal
askIITians Faculty 26 Points
10 years ago
locus of B and C as stated in problem are same please post the correct question again
locus of point A is parabola and fo r B & C point on and outside the circle of radius 1 and centered (1,0)
since statement of problem is not so clear i'm explaining the procedure
attaching the pic of finding locus of points A B & C
you can solve them or can find answer graphically





Thanks & Regards
Sudhir,
askIITians Faculty
Qualification.
IIT Delhi
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