# NCERT Class 11 Mathematics Solutions: Chapter 5 –Complex Number and Quadratic Equations Miscellaneous Exercise Part 7

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1. Let . Find

(i)

(ii)

Answer:

Answer: (i)

On multiplying numerator and denominator by , we obtain

Answer: (ii)

On comparing imaginary parts, we obtain

2. Find the modulus and argument of the complex number

Answer:

Consider,

Consider

i.e.,

On squaring and adding, we obtain

[Conventionally, ]

[As lies in the II quadrant]

So, the modulus and argument of the given complex number are respectively.