Modulus and Argument of a complex number

 

Modulus:    It is defined as

                      

Argument: Arg(Z):  It is defined as

                      

it is also known as amplitude of Z    symbolically amp(Z)

Note:

•  If |Z|=0 then x=0 and y=0

• The Argument θ of a complex number is not unique.

• If θ be the value of argument  so also is  2nπ + θ where n=0,± 1, ±2,…

 

 

Principal Value Argument.:   The value of argument which satisfy the inequality

                                                  

complex analysis mcqs