Subject specialists have created NCERT Solutions for Class 11 Maths Chapter 8 – Binomial Theorem which includes thorough solutions for reference. All of the questions from the textbook’s exercises are answered here. Students can use these answers to help them prepare for their exams. The NCERT Solutions for Class 11 provide useful solutions for improving conceptual knowledge.
The solutions are carefully solved using student-friendly terms while still adhering to the norms that must be followed when solving NCERT Solutions for Class 11. Practicing these answers can be incredibly advantageous not only in terms of exams but also in terms of helping Class 11 pupils perform well in upcoming competitive exams.
The approaches for answering have been given special consideration to stay on target while not deviating from the intended answer. Because time is so important in exams, excellent time management when answering questions is essential for getting the best results.
NCERT Solutions for Class 11 Maths Chapter 8 – Binomial Theorem
NCERT Solutions for Class 11 Maths Chapter 8 – Binomial Theorem
Following are the topics and subtopics explained in the Chapter 8 Binomial Theorem of NCERT Solutions for Class 11 Maths:
8.1 Introduction to Binomial Theorem
8.2 Binomial Theorem for Positive Integral Indices
Pascal’s Triangle
8.2.1 Binomial theorem for any positive integer n,
8.2.2 Some special cases
8.3 General and Middle Terms
The number of questions in the exercises is as follows:
Exercise 8.1 Solutions 14 Questions
Exercise 8.2 Solutions 12 Questions
Miscellaneous Exercise On Chapter 8 Solutions 10 Questions
NCERT Solutions for Class 11 Maths Chapter 8- Binomial Theorem
The chapter Binomial Theorem is found in the unit Algebra, and it accounts for 30 of the total 80 points. This chapter has three exercises, including a miscellaneous exercise. The following concepts are discussed in Chapter 8 of NCERT Solutions for Class 11 Maths:
- The Binomial Theorem determines the expansion of a binomial for any positive integral n. which is (a+b)n = nC0 an + nC1 an – 1b + nC2 an – 2b2 + …+ nCn – 1a.bn – 1 + nCn bn .
- The expansion coefficients are organized in an array. Pascal’s triangle is the name of this array.
- The general term of an expansion (a + b)n is Tr + 1 = nCr an – r . br
As a result, a student who thoroughly understands the eighth chapter of Class 11, the Binomial Theorem, will be well-versed in the history of the Binomial Theorem, the statement and proof of the Binomial Theorem for positive integral indices, Pascal’s triangle, the General and Middle Terms in Binomial Expansion, and simple applications of the Binomial Theorem.
Frequently Asked Questions on NCERT Solutions for Class 11 Maths Chapter 8
- Explain the concept of the Binomial Theorem covered in Chapter 8 of NCERT Solutions for Class 11 Maths?
- Will the NCERT Solutions for Class 11 Maths Chapter 8 help students to understand the concepts which are important from the exam perspective?
- In the Binomial Theorem, explain the properties of positive integers covered in the NCERT Solutions for Class 11 Maths Chapter 8?
1. Explain the concept of the Binomial Theorem covered in Chapter 8 of NCERT Solutions for Class 11 Maths?
The method of algebraically extending the power of sums of two or more binomials is known as the Binomial Theorem. Binomial coefficients are the coefficients of binomial terms that are involved in the expansion process. The definitions of concepts that are relevant for the tests are included in the chapter’s introduction. Students can now use the NCERT Solutions, which are available in PDF format, to study and keep up to current on the latest CBSE syllabus.
2. Will the NCERT Solutions for Class 11 Maths Chapter 8 help students to understand the concepts which are important from the exam perspective?
Before tackling the exercise-by-exercise questions, students can refer to the examples in the NCERT textbook to better grasp the expansion technique. Each problem in the solutions is solved in a step-by-step manner to assist students in better grasping the ideas. Students will be well-versed in the approach of solving these problems and will do well on the exam if they use the solutions PDF.
3. In the Binomial Theorem, explain the properties of positive integers covered in the NCERT Solutions for Class 11 Maths Chapter 8?
Positive integers have more than ten qualities, which students can master with the NCERT Solutions for Class 11 Maths Chapter 8. These features are critical for grasping the concept of effectively solving equations. The yearly test question paper would focus on chapters that are straightforward for pupils yet difficult to solve. If students want to get good grades, they should go over the NCERT Solutions for this purpose.
