# NCERT Class 11 Mathematics Solutions: Chapter 5 –Complex Number and Quadratic Equations Miscellaneous Exercise Part 9

Doorsteptutor material for NSO-Level-2 is prepared by world's top subject experts: fully solved questions with step-by-step explanation- practice your way to success.

1. If , then show that:

Answer:

On equating real and imaginary parts,

So, proved.

2. If α and β are different complex numbers with , then find

Answer:

Consider

It is given that,

………………….. eq (1)

[Using (1)]