# NCERT Class 11 Mathematics Solutions: Chapter 5 –Complex Number and Quadratic Equations Miscellaneous Exercise Part 8

Doorsteptutor material for IMO-Level-2 is prepared by world's top subject experts: fully solved questions with step-by-step explanation- practice your way to success.

Download PDF of This Page (Size: 141K) ↧

1. Find the real numbers x and y if is the conjugate of

Answer:

Consider,

It is given that,

Equating real and imaginary parts, we obtain

…………………. eq (i)

……………………… eq (ii)

Multiplying equation (i) by and equation (ii) by and then adding them, we obtain

Putting the value of x in equation (i)

So, the values of and are and respectively.

2. Find the modulus of

Answer: