NCERT Class 11 Mathematics Solutions: Chapter 5 – Complex Number and Quadratic Equations Miscellaneous Exercise Part 3 (For CBSE, ICSE, IAS, NET, NRA 2023)

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Product of Complex Numbers

1. Convert the following in the polar form:

(i)

(ii)

Answer: (i)

Consider,

On squaring and adding, we obtain

[Convention ]

[As lies in II quadrant]

This is the required polar form.

Answer: (ii)

Consider, on squaring and adding,

and

[As lies in II quadrant]

So, this is the required polar form.