# Problem a is a graph of the set of complex numbers z such that abs(z-1+I)=2
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a=circle((-1,1),2)
a.show(figsize=[2,2])
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# Problem b is a graph of the set of complex numbers z such that abs(z-1+I)<=2
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b=circle((-1,1),2, color='blue', fill="min") #This is the same circle only filled in as a closed disk
b.show(figsize=[2,2])
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# Problem c is a graph of the set of complex numbers z such that Re(z+2-2*I)=3
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#This should be a vertical line at x=2. I did not plot this because I could not figure out how to plot a vertical line on Sage
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# Problem d is a graph of the set of complex numbers z such that abs(z-I)+abs(z+i)=3
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d=ellipse((0,0),1.118,1.5)
d.show(figsize=[3,3])
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# Problem e is a graph of the set of complex numbers z such that abs(z)=abs(z+1)
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# This should be a vertical line at x=0.5; for the same reason as problem c it is not shown.
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