Show on diagrams:
a) All the complex numbers having real part -1
b) All the complex numbers having imaginary part 3/2
Is a) just all the numbers lying on the x axis and b) all numbers lying on the y axis?
a) All the complex numbers having real part -1
b) All the complex numbers having imaginary part 3/2
Is a) just all the numbers lying on the x axis and b) all numbers lying on the y axis?
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No, I think it means a straight line through that piont on the axis. So a) draw a vertical line through Re=-1 and for b) draw a horizontal line through Im=3/2 BOOM
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in the argand plane, you have to consider the real number line as x axis and the imaginary line as y.
So a complex number such as z=a+ib, would be plotted diagrammatically as the point z(a,b), with a and b as co-ordinates. So for
a) this is represented by the line x=-1
b)this is represented by the line y=3/2
So a complex number such as z=a+ib, would be plotted diagrammatically as the point z(a,b), with a and b as co-ordinates. So for
a) this is represented by the line x=-1
b)this is represented by the line y=3/2
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a) Since the real numbers are plotted on the x axis and imaginary on the y axis on the complex plane;
All the complex numbers with real part = -1 will be a vertical line parallel to the y axis going through
x = -1 BUT not including the x axis since a complex number with the imaginary part = 0 (on the x axis) would be a real number.
b) A horizontal line parallel to the x axis going through y = 3/2 This can include the y axis where x=0 since complex numbers can include real numbers = to zero
All the complex numbers with real part = -1 will be a vertical line parallel to the y axis going through
x = -1 BUT not including the x axis since a complex number with the imaginary part = 0 (on the x axis) would be a real number.
b) A horizontal line parallel to the x axis going through y = 3/2 This can include the y axis where x=0 since complex numbers can include real numbers = to zero