NCERT Class 11 Mathematics Solutions: Chapter 5 – Complex Number and Quadratic Equations Miscellaneous Exercise Part 7 (For CBSE, ICSE, IAS, NET, NRA 2022)

Doorsteptutor material for CBSE/Class-12 is prepared by world's top subject experts: get questions, notes, tests, video lectures and more- for all subjects of CBSE/Class-12.

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.