# NCERT Solutions for Class 11 Maths Chapter 8

NCERT Solutions for Class 11 Maths Chapter 8 Binomial Theorem (Dwipad Pramey) Exercise 8.1, Exercise 8.2 or Miscellaneous Exercise to view online or download in PDF format free for session 2021-22.

UP Board Students can download UP Board solutions for class 11 Maths chapter 8 here in Hindi Medium. Join the discussion Forum to ask your doubts and share your knowledge with your friends. NCERT Solutions Offline Apps are based on new NCERT Books 2021-22 following the latest CBSE Syllabus 2021-2022.

## NCERT Solutions for Class 11 Maths Chapter 8

Class: | 11 |

Subject: | Maths |

Chapter 8: | Binomial Theorem |

### 11th Maths Chapter 8 Solutions

NCERT Solutions for Class 11 Maths Chapter 8 Binomial Theorem all exercises including miscellaneous exercise are given below to download in PDF form updated for new session 2021-2022. NCERT Solutions 2021-22 are based on latest CBSE Curriculum 2021-2022 for CBSE Board, UP Board, Uttarakhand, Bihar Board, etc. who are following NCERT Books 2021-22 for their study.

### 11th Maths Chapter 8 Solutions in English Medium

### 11th Maths Chapter 8 Solutions in PDF

#### Class 11 Maths Chapter 8 Solution in Hindi Videos

#### Class 11 Maths Chapter 8 Miscellaneous Exercise Solution

#### How to find Middle Term?

The Middle Term: In the expansion of (a + b)^n, the total number of terms are (n + 1). The middle term in the expansion of (a + b)^n depend on n.

1. When n is even: Let n = 2m, where m is positive integer. The total number of terms will be 2m + 1. Hence, the middle term of the expansion (a + b)^n will be 1/2[(2m + 1) + 1], i. e. when n is even then (m + 1)th term or (n/2 + 1)th will be the middle term.

2. When n is odd: Let n = 2m + 1, where m is a positive integer. In the expansion of (a + b)^n the total number of terms will be (m + 2). The middle term in the expansion of (a + b)^n will be (m + 1)th and (m + 2)th term or (n + 1)/2th and ((n + 3)/2th term.

##### Important Terms on Binomial Theorem

1. Binomial Expression: Any expression containing two terms combined by + or – is called Binomial expression. For example: x + 3, 2x + y, x – 4y, 4 – 100x, y – 4, etc.

2. In the expansion of (a + b)^n, the coefficient of first term = coefficient of last term, coefficient of second term = coefficient of second term from last. Thus we get that in the expansion of (a + b)^n, the terms from first term and from the last term at equal distance have the same coefficients.

3. The General Term: The term (r + 1) is called the general term of the expansion (a + b)^n because we can get different terms from this term by giving different values to r. This general term is denoted by Tr+1.