. Conjugate of a Complex Number In this section, we study about conjugate of a complex number, its geometric representation, and properties with suitable examples. Definition . The conjugate of the complex number x iy ++ is defined as the complex number x iy −− - - Complex Numbers The complex conjugate of z is denoted by z .
To get the conjugate of the complex number z , simply change i by − i in z . For instance − i is the conjugate of + i .The product of a complex number with its conjugate is a real number. For instance, (i) x iy iy iy (ii) Geometrically, the conjugate of z is obtained by reflecting z on the real axis.