NCERT Class 11 Mathematics Solutions: Chapter 5 – Complex Number and Quadratic Equations Miscellaneous Exercise Part 2 (For CBSE, ICSE, IAS, NET, NRA 2022)

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Understanding of Complex Number

1. Reduce to the standard form.

Answer:

[On multiplying numerator and denominator by ]

This is the required standard form.

2. If prove that

Answer:

[On multiplying numerator and denominator by ]

On comparing real and imaginary parts

… eq (1)

[Using (1) ]

So, proved.