NCERT Solutions for Complex Numbers and Quadratic Equations Exercise 5.3 Class 11 Maths

September 13, 202239 Insightful Publications

**NCERT Solutions for Class 11 Maths Chapter 8: **In Class 11, Mathematics is considered one of the most important subjects. NCERT Solutions for Class 11 Maths Chapter 8 *Binomial Theorem* requires logical reasoning and analytical skills. A long list of formulae, an extensive syllabus and the pressure to score well make Mathematics one of the most dreaded subjects in students’ minds. With the help of NCERT Solutions for Class 11 Maths Chapter 8, you will improve your ability to memorise formulas and master topics in preparation for the class 11 exam.

NCERT Solutions for Class 11 Maths Chapter 8 can be valuable when preparing for the term-end examination and further competitive examinations like BITSAT, JEE etc. The article contains the most well-researched and reliable information compiled by expert faculty at Embibe. The solutions have been created as per the CBSE marking scheme. This article will provide you with a detailed pdf of NCERT Solutions for Class 11 Maths Chapter 8.

The process of finding the right books and solutions usually turns into a daunting task with the abundance of options available on the Internet. You have found the right place for those of you who have been facing the same problems. Students can download NCERT Solutions for Class 11 Maths Chapter 8 *Binomial Theorem* PDF to study in the offline mode from this article. Before getting into the detailed NCERT Solutions for Class 11 Maths Chapter 8, let’s look at the list of topics and subtopics included 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 |

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.

**Important Concepts:** Greatest term in Binomial Expansion, Binomial Theorem for Positive Integer, General Term of Binomial Theorem, Expansion of Binomial Theorem and Binomial Coefficients.

Students can download the CBSE NCERT Solutions for Class 11 Maths Chapter 8 from here. As the PDF is provided here for Class 11 Maths Chapter 8, students can download it and study at their convenience even without an internet connection.

Embibe has a variety of study materials available for students preparing for engineering entrance exams, such as JEE and BITSAT. In addition, students can take the Binomial Theorem Mock Test to check their preparation level. These questions will aid you not only in your entrance exams but also in your Class 11 Maths class tests and final exam.

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

NCERT SOLUTIONS FOR CLASS 11 MATHS CHAPTER 7 | NCERT SOLUTIONS FOR CLASS 11 MATHS | NCERT SOLUTIONS FOR CLASS 11 MATHS CHAPTER 9 |

**Q1 . Where can I download NCERT Solutions for Class 11 Maths Chapter 8?**

**Q2. Are the Class 11 Maths Chapter 8 – Binomial Theorem Solutions of Embibe available for free?****Ans.** Yes, all solutions provided by Embibe are available for free. You do not even have to sign up or register to download the solutions.

**Q3. Is NCERT book enough for Class 11 Maths?****Ans.** While NCERT Maths textbooks and previous year papers are sufficient for Class 11 Maths exam, you will need advanced texts for exams such as JEE.

**Q4. What is chapter 8 in Maths Class 11 NCERT book?****Ans.** Chapter 8 in NCERT Solutions for Class 11 Maths is Binomial Theorem.

**Q5. Is Class 11 Maths Chapter 8 – Binomial Theorem difficult?****Ans.** As Maths is a tough but important subject. Students need to practice Maths regularly, this way they can master the subject.