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Binomial Theorem class 11 Notes Mathematics
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CBSE Class 11 Mathematics
Revision Notes
Chapter-8
Binomial Theorem class 11 Notes Mathematics
1. Binomial Theorem for Positive Integral Indices
2. General and Middle Terms
- Binomial Theorem: The expansion of a binomial for any positive integral n is given by Binomial Theorem, which is
- The coefficients of the expansions are arranged in an array. This array is called Pascal’s triangle.
- The general term of an expansion
- The general term of an expansion
- The general term of
- The general term of
- In the expansion , if n is even, then the middle term is the term. If n is odd, then the middle terms are and terms.
- term from the end in term fromt he beginning.
- Method to prove Binomial Theorem:
(a) Principle of Mathematical Induction.
(b) Combinatorial Method.
- Factorial notation:
(i)
(ii)
(iii)
(iv)
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