Complex Numbers: A complex number is a number in the form z = a + bi
, where a
is the real part and b
is the imaginary part. On the Argand plane, the complex number is represented as a point with coordinates (a, b).
Modulus: The modulus of a complex number z = a + bi
is given by |z| = √(a² + b²)
.
Argument: The argument of a complex number z = a + bi
is the angle θ
formed by the line connecting the point (a, b) with the origin (0, 0). It is given by θ = tan⁻¹(b/a)
.