Read and download NCERT Class 11 Maths Binomial Theorem in NCERT book for Class 11 Mathematics. You can download latest NCERT eBooks chapter wise in PDF format free from Studiestoday.com. This Mathematics textbook for Class 11 is designed by NCERT and is very useful for students. Please also refer to the NCERT solutions for Class 11 Mathematics to understand the answers of the exercise questions given at the end of this chapter
NCERT Book for Class 11 Mathematics Chapter 8 Binomial Theorem
Class 11 Mathematics students should refer to the following NCERT Book Chapter 8 Binomial Theorem in Class 11. This NCERT Book for Class 11 Mathematics will be very useful for exams and help you to score good marks
Chapter 8 Binomial Theorem NCERT Book Class 11
8.1 Introduction
In earlier classes, we have learnt how to find the squares and cubes of binomials like a + b and a – b. Using them, we could evaluate the numerical values of numbers like (98)2 = (100 – 2)2, (999)3 = (1000 – 1)3, etc. However, for higher powers like (98)5, (101)6, etc., the calculations become difficult by using repeated multiplication. This difficulty was overcome by a theorem known as binomial theorem. It gives an easier way to expand (a + b)n, where n is an integer or a rational number. In this Chapter, we study binomial theorem for positive integral indices only.
8.2 Binomial Theorem for Positive Integral Indices
Let us have a look at the following identities done earlier:
(a+ b)0 = 1 a + b ≠ 0
(a+ b)1 = a + b
(a+ b)2 = a2 + 2ab + b2
(a+ b)3 = a3 + 3a2b + 3ab2 + b3
(a+ b)4 = (a + b)3 (a + b) = a4 + 4a3b + 6a2b2 + 4ab3 + b4
In these expansions, we observe that
(i) The total number of terms in the expansion is one more than the index. For example, in the expansion of (a + b)2 , number of terms is 3 whereas the index of (a + b)2 is 2.
(ii) Powers of the first quantity ‘a’ go on decreasing by 1 whereas the powers of the second quantity ‘b’ increase by 1, in the successive terms.
(iii) In each term of the expansion, the sum of the indices of a and b is the same and is equal to the index of a + b
Please refer to attached file for NCERT Class 11 Maths Binomial Theorem
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| NCERT Class 11 Maths Relations And Functions Questions |
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| NCERT Class 11 Maths Permutations And Combinations |
| NCERT Class 11 Maths Permutations And Combinations Questions |
| NCERT Class 11 Maths Binomial Theorem |
| NCERT Class 11 Maths Binomial Theorem Questions |
| CBSE Class 11 Maths Sequence and Series |
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| NCERT Class 11 Maths Introduction To Three Dimensional Geometry Questions |
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| NCERT Class 11 Maths Limits And Derivatives Questions |
| NCERT Class 11 Maths Mathematical Reasoning |
| NCERT Class 11 Maths Mathematical Reasoning Questions |
| NCERT Class 11 Maths Statistics |
| NCERT Class 11 Maths Statistics Questions |
| NCERT Class 11 Maths Probability |
| NCERT Class 11 Maths Probability Questions |
| NCERT Class 11 Maths Answers and Solutions |
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Mathematics NCERT Book Class 11 Chapter 8 Binomial Theorem
The above NCERT Books for Class 11 Mathematics Chapter 8 Binomial Theorem have been published by NCERT for latest academic session. The textbook by NCERT for Chapter 8 Binomial Theorem Mathematics Class 11 is being used by various schools and almost all education boards in India. Teachers have always recommended students to refer to Chapter 8 Binomial Theorem NCERT etextbooks as the exams for Class 11 Mathematics are always asked as per the syllabus defined in these ebooks. These Class 11 Chapter 8 Binomial Theorem book for Mathematics also includes collection of question. We have also provided NCERT solutions for Class 11 Mathematics which have been developed by teachers of StudiesToday.com after thorough review of the latest book and based on pattern of questions in upcoming exams for Class 11 students.
NCERT Book Class 11 Mathematics Chapter 8 Binomial Theorem
The latest NCERT book for Chapter 8 Binomial Theorem pdf have been published by NCERT based on the latest research done for each topic which has to be taught to students in all classes. The books for Class 11 Mathematics Chapter 8 Binomial Theorem are designed to enhance the overall understanding of students. All Class 11 NCERT textbooks have been written in an easy to understand language which will help to enhance the overall level of Class 11 students.
Chapter 8 Binomial Theorem NCERT Book Class 11 Mathematics
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Class 11 Mathematics Chapter 8 Binomial Theorem NCERT Book
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Class 11 Chapter 8 Binomial Theorem NCERT Book Mathematics
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