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

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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) ]