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

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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)]