Class 11th Math Binomial Theorem Formulas CBSE 2023
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Binomial Theorem Class 11 Formulas & Notes

Binomial Theorem Class 11 Formulae

Chapter 8 Binomial Theorem

Class 11 Mathematics Chapter 8: The Binomial Theorem requires logical reasoning and analytical skills. The long list of formulas, the extensive curriculum, and the need to get high marks to make math one of the scariest subjects in the minds of students. With NCERT notes for Grade 11 Math Chapter 8, you can improve your ability to memorize formulas and master topics as you prepare for your Grade 11 exam.

Chapter 8 of NCERT notes for Grade 11 Math can help you prepare for final exams and additional competitive exams such as BITSAT, JEE, and more. This article contains the most carefully crafted and reliable information gathered by Vidyakul experts. The notes is based on the CBSE labeling scheme. 


MATHEMATICS NOTES CHAPTER-8


Points to Remember

Class 11 Maths Revision Notes Chapter 8 Binomial Theorem consists of all the important theories and explanations related to this chapter. Students will be benefiting from this notes when it comes to getting some clarity with respect to this chapter. We are aware of the definition of Binomial Theorem:

  • The binomial theorem is used to expand binomial expressions (a + b) raised to any given power without direct multiplication. For example: (a + b)3 = a3 + 3 a2b + 3 ab2 + b3 Starting with the first term and progressing to the last, the exponent of a decrease by one while the exponent of b increases by one, and the sum of the exponents of a and b in each term is n. The binomial coefficients form a pattern of 1 3 3 1. The coefficients correspond with the rows of Pascal’s triangle and are determined by a formula involving factorials.

These observations form the basis of the binomial theorem in its expanded form:

Class 11 Maths Chapter 8 Binomial Theorem

Using sigma notation and factorials, the binomial theorem becomes:

Class 11 Maths Chapter 8 Binomial Theorem

where the Class 11 Maths Chapter 8 Binomial Theorem notation is a combination such as nCk (read “n choose k”):

Class 11 Maths Chapter 8 Binomial Theorem


Topics and Sub-topics

The process of finding the right books and notes is usually a daunting task with the variety of options available on the internet. You have found the right place for people facing the same problem. Students can download the NCERT notes for class 11 math chapter 8 binomial theme for offline study in this article. Before moving on to the detailed NCERT notes for Math 11th Chapter 8, let's review the list of topics and subtopics covered in this chapter.

Exercise

Topics

8.1

Introduction

8.2

Binomial Theorem for Positive Integral Indices

8.2.1

Binomial Theorem for any Positive Integer n

8.2.2

Some Special Cases

8.3

General and Middle Terms

 

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Binomial Theorem Class 11 Math Formulae Part - 1