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, each part ending with an answer key. 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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