Chapter 5 Complex Numbers and Quadratic Equations

NCERT Solutions for class 11 Maths Chapter 5 Complex Numbers and Quadratic Equations

This page consists of NCERT Solutions for class 11 Maths Chapter 5 Complex Numbers and Quadratic Equations prepared by HT experts. All the questions asked in Chapter 5 Complex Numbers and Quadratic Equations are solved with detailed explanations. MCQ questions of Chapter 5 Complex Numbers and Quadratic Equations are covered in this solution. 

What will you learn in Chapter 5 Complex Numbers and Quadratic Equations?

We are known to Real numbers till now. But there are some equations which cannot be satisfied by real numbers like x^2 + 1 = 0. So to find the solution to these kinds of equations a need arose to introduce imaginary numbers. This is why iota(i) was introduced to the number system.

Complex numbers are the superset of all real and imaginary numbers.

In this chapter, we will study some concepts of complex numbers and imaginary roots of quadratic equations.

The highlight of the topic:

1. Definition of complex numbers and their algebra (Addition, Subtraction, Multiplication and Division) along with the basic properties of each operation

2. Real and Imaginary parts of a complex number.

3. Integrals power of iota.

4. The square root of a negative real number.

5. Modulus and Conjugate of a complex number.

6. Multiplicative and Additive inverse of a complex number.

7. Argand or Complex plane and Polar representation.

8. Finding the imaginary roots of a quadratic equation.

9. A polynomial equation has at least one root and a polynomial equation of degree n has n roots.

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