Chapters / Binomial Theorem
Class 11
Binomial Theorem
JEE Main previous-year questions on Binomial Theorem from 2002 to 2025, sorted type by type across three parts, with a 257-page bank giving a worked solution for all 254. The full set adds more questions per type and a few types beyond the core.
What is inside
Part 1 · Terms and coefficients
- General term and the term independent of x
- Coefficient of a specific power
- Middle term, and terms involving logarithms
- Greatest and least value of a term
- Consecutive coefficients, and coefficients in A.P.
- Coefficients in a given ratio
- Ratio counted from the beginning and from the end
- Sum of the coefficients
Part 2 · Products, integral terms and remainders
- Product of two or more binomial expansions
- Expansions of the form (a+b)ⁿ + (a−b)ⁿ
- Counting integral and rational terms
- Remainder and divisibility problems
- Fractional parts
Part 3 · Binomial coefficient series
- Properties of ⁿCᵣ and Pascal’s identity
- Summation of binomial coefficients
- Series solved by differentiation
- Series solved by integration
- Products of binomial coefficients, and double sigma
- Summation using the general term
- Series of expansions in G.P.
- Multinomial expansions
Full set only · Beyond the positive index
- Negative and fractional index, and infinite series
- Comparing numbers, and irrational numbers with the greatest integer function
- Last digits and remainders
- Miscellaneous mixed problems
Assignments
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JEE Main PYQ · Part 1 · specific terms, coefficient relationships, sum of coefficients
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JEE Main PYQ · Part 2 · products of binomials, integral terms, remainders
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JEE Main PYQ · Part 3 · binomial coefficient series, multinomial, fractional index
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Question Bank with Full Solutions · 254 questions, 2002–2025, one worked solution each
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