$z = a+ b i$
$Re(z) = a$
$Im(z) = b$
$Arg(z)$ is the angle between the positive real axis and line joining origin and $z$
Complex Conjugate: $\bar{z} = a-bi$
Modulus: $|z| = \sqrt{a^2+b^2}$
$z \bar{z} = \bar{z}z = z^2$
Dividing
$z = a+ b i$
$Re(z) = a$
$Im(z) = b$
$Arg(z)$ is the angle between the positive real axis and line joining origin and $z$
Complex Conjugate: $\bar{z} = a-bi$
Modulus: $|z| = \sqrt{a^2+b^2}$
$z \bar{z} = \bar{z}z = z^2$
Dividing