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This lesson covers skills from the following lessons of the NCERT Math Textbook: (i) 6.1- Introduction, and (ii) 6.2 - Binomial theorem for positive integral indices
Hence the theorem can also be stated as n k n k k k a b n n a b 0 ( ) C. 2. The coefficients nC r occuring in the binomial theorem are known as binomial coefficients. 3. There are (n+1) terms in the expansion of (a+b)n, i.e., one more than the index. 4. In the successive terms of the expansion the index of a goes on decreasing by unity.
The NCERT Solutions Class 11 Chapter 8 Binomial Theorem can be downloaded at BYJU’S easily. Practising these solutions can help the students clear their doubts as well as solve problems faster. Students can learn new tips and methods to answer a particular question in different ways using NCERT Solutions, which gives them an edge in exam ...
Using the binomial theorem students can also pinpoint any term in a binomial expansion. The formulas used in the NCERT solutions for class 11 maths chapter 8 are given below: Binomial Theorem: (a + b) n = n C 0 a n + n C 1 a n – 1 b + n C 2 a n – 2 b 2 + ...+ n C n – 1 b n – 1 + n C n b n. If n is even in (a + b) n, then the middle term ...
BINOMIAL THEOREM 131 5. Replacing a by 1 and b by –x in ... (1), we get (1 – x)n =nC 0 x0 – nC 1 x + nC 2 x2... + nC n–1 (–1)n–1 xn-1 + nC n (–1)n xn i.e., (1 – x)n = 0 ( 1) C n r n r r r x = ∑− 8.1.5 The pth term from the end The p th term from the end in the expansion of (a + b)n is (n – p + 2) term from the beginning. 8.1.6 Middle terms The middle term depends upon the ...
7 maj 2024 · CBSE Class 11 Maths Notes for Chapter 8 on Binomial Theorem provide detailed coverage of the topic. They provide explanations of concepts in simple language, making it easier for students to understand. The notes include examples and illustrations to clarify key points and demonstrate problem-solving techniques.
Hence the theorem can also be stated as ∑ = + = − n k n k k k a b n a b 0 ( ) C. 2. The coefficients nC r occuring in the binomial theorem are known as binomial coefficients. 3. There are (n+1) terms in the expansion of (a+b)n, i.e., one more than the index. 4. In the successive terms of the expansion the index of a goes on decreasing by unity.
