Given that , where is a point on the argand plane, show that , where…

MATHEMATICS · Subjective · CBSE · Mathematics · Complex Numbers and Quadratic Equations · Complex Numbers and Quadratic Equations

Problem

Given that

|z - 1| = 1

, where

z

is a point on the argand plane, show that

\frac{z-2}{z} = i \tan(\arg z)

, where

i = \sqrt{-1}