Graphical representation of Complex numbers

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The complex number Z = x + iy may be represented graphically by the point P whose rectangular co-ordinates are (x, y). Thus each point in the plane is associated with a complex number. In the figure, P defines Z = x + iy. It is customary to choose x-axis as real axis and y-axis as imaginary axis.

Draw PM perpendicular to x-axis.

In D POM,

Here the positive value of r is called the modulus of Z or absolute value of Z. q is called the amplitude or argument of Z.



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