# Conjugate of A Complex Numbers

Complex Numbers: The numbers of the form x +iy are known an complex numbers .here x and y real numbers and i = √-1 is iota.A complex number may also defines as an ordered pair of real numbers and it is denoted by symbol (x, y).

Where x is called real part and y is called imaginary part.

Set of Complex Numbers C = {x + iy: x, y ϵ R, i = √-1}.Conjugate of A Complex Numbers: Let x + iy is a complex numbers then conjugate of z is denoted by z’ and is equal to x – iy.Thus geometrically the conjugate of z is the reflection of point image of z in the real axis

From the definition it is clear that conjugate of a complex number can be obtained by replacing i by -i

Ex: if z = 3 + 4i, then z’ = 3 – 4i

Ex:

 Complex Number Complex Conjugate 2 + i 2 – i – 3 + 7i – 3 – 7i 6 – 4i 6 + 4i