NCERT Class 11 Mathematics Solutions: Chapter 5 –Complex Number and Quadratic Equations Miscellaneous Exercise Part 7
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Understanding of Quadratic Equation
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.