REPRESENTATION OF COMPLEX NUMBERS IN ARGAND PLANE

A complex number z = x + iy written as ordered pair (x, y) can be represented by a point P whose Cartesian coordinates are (x, y) referred to axes OX and OY, usually called the real and the imaginary axes. The plane of OX and OY is called the Argand diagram or the complex plane.

MODULUS OF A COMPLEX NUMBER

Let  z = x + iy be a complex number then its magnitude is defined by the real number (x2 + y2)1/2 and is denoted by |z|.

ARGUMENT OF A COMPLEX NUMBER

PRINCIPAL ARGUMENT OF A COMPLEX NUMBER

The value of q satisfying the inequality – π < Θ ≤ π is called the principal value of the argument.