Class 11 Maths Chapter 7 Binomial Theorem – Revision Notes

Quick revision notes for Class 11 Maths Chapter 7 (Binomial Theorem). These Class 11 Maths Chapter 7 notes are ideal for quick revision just before exams.

Binomial Theorem

• (a+b)ⁿ = ∑ⁿC_ka^n−kb^k, k=0 to n.

General Term

• T_k+1 = ⁿC_ka^n−kb^k.

Properties

• n+1 terms total.
• Symmetric: ⁿC_k=ⁿC_n−k.
• Sum of coefficients = 2ⁿ.
• Pascal’s Triangle: each entry = sum of two above.

Middle Term

• n even: 1 middle term ((n/2)+1)th.
• n odd: 2 middle terms.

One-Line Summary

The binomial theorem expands (a+b)ⁿ using binomial coefficients (from Pascal’s Triangle), with the general term formula allowing any specific term to be found directly without full expansion.

Written by Satish

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