- #1
utkarshakash
Gold Member
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- 13
Homework Statement
Let A,B,C be three sets of complex numbers as defined below
A = {z:|z+1|[itex]\leq[/itex]2+Re(z)}, B = {z:|z-1|[itex]\geq[/itex]1} and
C=[itex]\left\{z: \frac{|z-1|}{|z+1|}\geq 1 \right\}[/itex]
The number of point(s) having integral coordinates in the region [itex]A \cap B \cap C[/itex] is
Homework Equations
The Attempt at a Solution
I worked out and found that [itex]A \cap B \cap C[/itex] is the area bounded by the parabola [itex]y^{2}=2(x+\frac{3}{2})[/itex] and the Y-axis. So the points having integral coordinates in this region are (-1,0), (0,0), (-1,1) and (-1,-1) which counts up to 4. But the correct answer is 6.