NCERT Solutions For Class 11 Maths Chapter 8: CBSE Class 11 students who are preparing for their exams and looking for NCERT Solutions For Class 11 Maths Chapter 8 – Binomial Theorem can refer to this article. Each NCERT solution here is crafted precisely as per the CBSE guidelines. The solutions are prepared by the top Maths faculty at Embibe to help you prepare for Class 11 exams and various competitive exams.
Students can download the free Binomial Theorem chapter solutions PDF from the link given in this article to study offline. The NCERT Solutions For Class 11 Maths Chapter 8 PDF have step by step answers to all the exercise questions from the chapter, Binomial Theorem. Moreover, these solutions are easy to understand. Hence, go through the CBSE NCERT Solutions For Class 11 Maths Chapter 8.
CBSE NCERT Solutions For Class 11 Maths Chapter 8
Before getting into the detailed NCERT Solutions for Class 11 Maths Chapter 8, let’s look at the topics and subtopics included in this chapter:
|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|
CBSE NCERT Solutions For Class 11 Maths Chapter 8: Chapter Summary
In previous classes, you learned how to find the squares and cubes of binomials like (a + b) and (a – b). Using them, you 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. This difficulty was overcome by a theorem known as the Binomial Theorem. It gives an easier way to expand (a + b)n, where n is an integer or a rational number. In this chapter, you will study the Binomial Theorem for positive integral indices only.
In elementary algebra, the binomial theorem describes the algebraic expansion of powers of a binomial. This is a medium weightage chapter.
Important Concepts: Greatest term in Binomial Expansion, Binomial Theorem for Positive Integer, General Term of Binomial Theorem, Expansion of Binomial Theorem and Binomial Coefficients.
How To Prepare For CBSE Class 11 Maths – Binomial Theorem
Students appearing for engineering entrance exams, like JEE and BITSAT can avail of the study material required for their preparation at Embibe. For example, you can solve Class 11 Maths Chapter 8 practice questions here at Embibe for free. Also, students can take the Binomial Theorem Chapterwise mock test to check their preparation level. These questions will help you not only in your entrance exams but also in your Class 11 Maths class tests and final exam.
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Concepts Covered In CBSE Class 11 Maths Chapter 8
Following are the concepts which will be covered in this chapter:
- Factorial Notation.
- Representation of Binomial Expression.
- Binomial Expression.
- Expansion of (x+a)n
- Expansion of (x-a)n
- Examples of Mixed surds
- Definition of parameters in the binomial theorem
- rth term of binomial expansion.
- Examples of finding binomial coefficient
- Middle term of binomial expansion
- Greatest coefficient binomial theorem
- Numerically greatest term
- Binomial coefficients
- Properties of Binomial coefficients
- Summation of Binomial coefficients
- Multiplication of Binomial coefficients of same series
- Multiplication of Binomial coefficients of different series
- Binomial theorem for negative and fractional index
- Multinomial Theorem
- Pascal’s Triangle
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