Maths Volume-5(Binomial theorem and its simple applications)



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Contents

Synopsis of Binomial theorem and its simple applications - I


Description: Introduces binomial theorem basics, explaining expansion of expressions using binomial coefficients and standard formula.


Synopsis of Binomial theorem and its simple applications - II


Description: Continues with binomial expansions, focusing on coefficient identification and power patterns in expanded terms.


Synopsis of Binomial theorem and its simple applications - III


Description: Solves problems applying binomial theorem to practical questions, including coefficient comparison and term identification.


Binomial for Positive Index, Generalterm and Middleterm - I


Description: Explains binomial expansion with positive index, introduces general term and middle term in detail.


Binomial for Positive Index, Generalterm and Middleterm - II


Description: Continues with more examples on general and middle terms, emphasizing stepwise expansion and position logic.


Binomial for Positive Index, Generalterm and Middleterm - III


Description: Introduces variation in general term problems, emphasizing coefficient extraction and use of combination formulas.


Binomial for Positive Index, Generalterm and Middleterm - IV


Description: Focuses on advanced questions involving position-based term identification and simplification in binomial expansions.


Divisibility, Remainder, Last Digits & Comparison of Numbers - I


Description: Applies binomial theorem to solve problems involving divisibility, remainders, last digits, and number comparisons.


Divisibility, Remainder, Last Digits & Comparison of Numbers - II


Description: Continues solving higher-level questions involving digit patterns, mod operations, and comparative numerical evaluations.


Properties of Binomial Coefficients Based on Summation - I


Description: Explains properties of binomial coefficients using summation techniques and pattern-based simplification.


Properties of Binomial Coefficients Based on Summation - II


Description: Solves advanced summation problems involving binomial coefficients using identities and symmetrical properties.


Product of Binomial Coefficients and Double Summation - I


Description: Covers product of binomial coefficients and introduces double summation techniques in binomial expansions.


Product of Binomial Coefficients and Double Summation - II


Description: Continues with advanced double summation problems, focusing on simplification and algebraic manipulation using identities.


Greatest Term, Binomial Theorem Multinomial Theorem - I


Description: Explains finding the greatest term in expansions and introduces multinomial theorem for multi-variable expressions.


Greatest Term, Binomial Theorem Multinomial Theorem - II


Description: Solves problems on multinomial expansions and identifies maximum term values using general term logic.


Revisal Problems for JEE Main - I


Description: Practices mixed problems for JEE Main, covering all binomial and combinatorics concepts with varied difficulty.


Revisal Problems for JEE Main - II


Description: Continues JEE Main problem practice with complex applications and integrated approach to multiple concepts.


JEE Main & Archive - I(Binomial theorem)


Description: Solves previous year JEE Main and archive problems, reinforcing concepts with real exam patterns.


JEE Main & Archive - II(Binomial theorem)


Description: Completes archive-based revision, analyzing frequently asked questions and strengthening speed and accuracy for JEE.


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