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

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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: