Conjugate Of A Complex Number

Given complex number is

%5Cfrac%7B(1%20%2B%20i)%5E2%7D%7B1%20-%20i%7D

%3D%20%5Cfrac%7B%5Cleft(1%2B%20i%5E%7B2%7D%20%2B2%20i%5Cright)%7D%7B1-i%7D%20%5Ctimes%20%5Cfrac%7B1%2Bi%7D%7B1%2Bi%7D

%3D%20%5Cfrac%7B2i%5Cleft(1%2Bi%5Cright)%7D%7B1-i%5E%7B2%7D%7D

%3D%20%5Cfrac%7B2%20i%20%2B2i%5E%7B2%7D%7D%7B1%2B1%7D%20%3D%5Cfrac%7B2i-2%7D%7B2%7D

= i - 1

%5Ctherefore

Required conjugate is

-1-i

Chapter Questions
1 MCQs