Equality of Complex Numbers

The equality of complex numbers is similar to the equality of real numbers. Two complex numbers z1=a1+ib1z1=a1+ib1 and z2=a2+ib2z2=a2+ib2 are said to be equal if the rel part of both the complex numbers are equal a1=a2a1=a2,  and the imaginary parts of both the complex numbers are equal b1=b2b1=b2. Also, the two complex numbers in the polar form are equal, if and only if they have the same magnitude and their argument (angle) differs by an integral multiple of 2π.