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NCERT Solutions for Class 11 Maths Chapter 8 – Binomial Theorem

NCERT Solutions for Class 11 Maths Chapter 8 will help you understand one of the vital concepts of algebra – the Binomial Theorem. To a very great extent, this theorem forms the fountainhead of algebra. To understand this theorem you must have knowledge of concepts of exponents, coefficients, and Pascal’s triangle. This chapter contains 3 exercises with 36 questions.

We provide exercise-wise solutions for the NCERT Solutions for Class 11 Maths Chapter 8 for you. These solutions include clear steps, a detailed explanation of the formulae, theorems, and rules. You will learn how Binomial Theorem will lay the foundation to resolve even the most complex algebraic equations, and so does it help you in solving the problems that pertain to engineering concepts in the future. The NCERT Solutions for Class 11 Maths Chapter 8 from Instasolv will clear all your doubts and help you in building your confidence level in this particular topic. 

Important Topics for NCERT Solutions for Class 11 Maths Chapter 8

Chapter 8 of the NCERT Solutions for Class 11 Maths textbook is exclusively devoted to explaining the Binomial Theorem for your easy understanding. With a subtle introduction about theorems, this chapter proceeds to introduce you to the various steps of using theorem in solving the problems in algebra. The chapter is subdivided into 5 sections which include the topics binomial theorem for positive integral indices, binomial theorem for any positive integer, special cases of the binomial theorem, and general and middle terms of the binomial equation.

By studying this chapter, you get to know the various concepts of Binomial Theorem, especially the following:

  • what is a Binomial Number; 
  • The algebraic expansion of powers of a binomial for any positive integral; 
  • The Coefficients of the Expansion, their arrangement; 
  • Pascal’s Triangle; 
  • Exceptions to the Theorem. 

The first section of the chapter explains binomial theorem with examples while the details of the Theorem and its usage are enunciated in the subsequent sections. The second section is devoted to the applicability of the theorem to positive integral indices with a definition of what these indices are in actuality. You also get to know of the theorem’s applicability to positive integer ‘n’ and how the coefficients and middle terms are derived in the subsequent sections of the chapter.

Exercise-wise Discussion of NCERT Solutions for Class 11 Maths Chapter 8

  1. Exercise 8.1 of Chapter 8 of the Class 11 Maths NCERT textbook contains 14 questions. In questions 1 to 5, you need to expand the expressions given. In further questions, you need to evaluate the binomial theorem for the given terms. 
  2. Exercise 8.2 includes 12 questions where you need to find the coefficients, expand the terms and find the middle terms of the expansion. 
  3. Exercise 8.3 is a miscellaneous exercise which includes 10 questions on all the topics that you have studied in the chapter. 

Benefits of NCERT Class 11 Maths Solutions for Chapter 8 by Instasolv

If you want to score better marks in this chapter in the CBSE exam, you must refer to our NCERT solutions for class 11 maths chapter 8. These solutions include all the explanations that you might not be able to grasp earlier. All the exercise solutions are checked at different levels by our maths subject matter experts which ensures that they are 100% correct and reliable. We are here to solve all your doubts related to the Binomial Theorem in just a few minutes.