A complex number z is of the form x + iy, where x and y are real numbers and i = √−1 is called the imaginary unit.
x is called the real part of z and is denoted as Re z.
y is called the imaginary part of z and is denoted as Im z.
Thus, x = Re z, y = Im z.
Note Given two complex numbers z1 and z2, we can only say z1 = z2 or z1 ≠ z2. We cannot say z1 < z2 because there is no order relation in the field of complex numbers as in the field of real numbers.
The set of all complex numbers is denoted by C.
If z = x + iy is any complex number, then its conjugate
We can easily ...