# BINOMIAL THEOREM CLASS 11 MATHS

## Summary

The expansion of a binomial for any positive integral n is given by Binomial Theorem, which is (a + b)n
= nC0an + nC1an – 1 b + nC2an – 2 b2 + ... + nCn - 1 abn - 1 + nCnbn

The coefficients of the expansions are arranged in an array. This array is called Pascal’s triangle.

The general term of an expansion (a + b)n is Tr + 1 = nCran – r. br

In the expansion (a + b)n , if n is even, then the middle term is the (n/2 + 1)th term. If n is odd, then the middle terms are (n + 1)/2 and (n + 1)/2 +1 terms.

## Lecture - 1

• Introduction to Binomial Theorem
• Pascal Triangle and Derivation for Binomial Theorem
• NCERT Exercise 8.1 (Q1 to Q3)

## Lecture - 2

• NCERT Exercise 8.1 (Q4 to Q14)

## Lecture - 3

• Total number of terms in a Binomial Expansion, General Term of Binomial Expansion, Finding Term in a Binomial Expansion
• NCERT Exercise 8.2 (Q1 to Q6)
• NCERT Exercise 8.2 (Q9 & Q12)

## Lecture - 4

• Method to find Middle term in a Binomial Expansion
• NCERT Exercise 8.2 (Q7, Q8, Q10 & Q11)
• Miscellaneous Exercise (Q2, Q5, Q6 & Q7)

## Lecture - 5

• NCERT Miscellaneous Exercise (Q1, Q3, Q4, Q8, Q9 & Q10)

## Lecture - 6

• NCERT Example 4
• NCERT Example 6
• NCERT Example 10
• NCERT Example 11
• NCERT Example 12
• NCERT Example 14
• NCERT Example 15
• NCERT Example 16
• NCERT Example 17