2.5.1 Properties of Modulus of a complex number · Part 3

, z , and z are complex numbers such that z find the value of Since, z = z = , z = z z z z ,| , and | z z Therefore, z = , and z and hence = z = z Example . If z = show that ( ) ( ) From ( ) and ( ), we get Note To find the lower bound and upper bound use z Re Im O i −+ Fig. . Fig.