# NCERT Class 11 Mathematics Solutions: Chapter 5 – Complex Number and Quadratic Equations Miscellaneous Exercise Part 9 (For CBSE, ICSE, IAS, NET, NRA 2022)

Doorsteptutor material for CBSE/Class-12 is prepared by world's top subject experts: get questions, notes, tests, video lectures and more- for all subjects of CBSE/Class-12.

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) ]