NCERT Solutions for Class 11 Maths, Chapter 8 - Binomial Theorem

In this chapter, you’ll learn about Binomial Theorem. A Binomial is a polynomial with two terms such as a+b. If in case, we multiply a binomial by itself again and again, what will you get? The calculations will go lengthier; however, in this process, you’ll observe some pattern developing. The binomial theorem is nothing, but the summary of this pattern. In elementary algebra, the binomial theorem (or binomial expansion) describes the algebraic expansion of powers of a binomial. Going further, you’ll also learn what are coefficients and Pascal’s Triangle.

The concept of a binomial theorem is very important as it is often used in algebra, probability and permutations and combinations.

Let’s take a look at topics and sub-topics of class 11 Maths Chapter 8, Binomial Theorem

8.1 Introduction

8.2 Binomial Theorem for Positive Integral Indices

8.3 General and Middle Terms

In Class 11 Maths Chapter 8, one will learn – 

Section 8.2 –In this section, you’ll learn about binomial theorem for positive integral indices as well as the Pascal’s Triangle, named after the famous French mathematician Blaise Pascal. You’ll also learn about expansions for the higher powers of the binomial theorem and some special cases.

Section 8.3 – In this section, you’ll study various terms related to binomial theorems such as the general term, the middle term and the term independent of ‘x’ or the constant term.

In this chapter, you are provided with several examples along with their solutions for a clear understanding of Binomial Theorem. To know more about Class 11 Maths Chapter 8 Binomial Theorem, you should explore the exercises below. You can also download the Binomial Theorem Class 11 NCERT Solutions PDF, solved by expert Maths trainers.