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