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JEE Main Binomial Theorem questions with solutions

Binomial expansion, general term and coefficient problems. 12 questions from our 2017–2025 JEE Main pattern papers, from the Class 11 Mathematics syllabus. Each has the answer and a full solution.

Also practise: Binomial Theorem for JEE Advanced · Binomial Theorem for NDA

JEE Main 2025

The coefficient of x^7 in the expansion of (x^2-1/x)^11 isJEE Main 2025 · easy

JEE Main 2024

For x=1, the numerically greatest term in the expansion of (2+3x)^12 is the k^th term. The value of k isJEE Main 2024 · medium
The number of rational terms in the expansion of (2^1/3+5^1/4)^200 isJEE Main 2024 · medium

JEE Main 2023

In the expansion of (2x^2-1/x)^6, the constant term isJEE Main 2023 · medium
The coefficient of x^10 in the expansion of (1+x^2-x^3^8 isJEE Main 2023 · hard

JEE Main 2022

The number of rational terms in the expansion of (2^1/3+3^1/2)^60 isJEE Main 2022 · medium
The value of (1)/(2^8Σr=1^10 r^2binom10r isJEE Main 2022 · medium

JEE Main 2021

The coefficient of x^3 in the expansion of (2x^2-1/x)^9 isJEE Main 2021 · hard

JEE Main 2020

The coefficient of x^4 in the expansion of (1+x+x^2^6 isJEE Main 2020 · medium

JEE Main 2019

In the expansion of (1+x)^n, the coefficients of the 5th, 6th and 7th terms are in arithmetic progression. The sum of all possible values of n isJEE Main 2019 · medium

JEE Main 2018

The number of rational terms in the binomial expansion of (√[3]2+√[4]5)^100 isJEE Main 2018 · hard

JEE Main 2017

The coefficient of x^8 in the expansion of (1+x+x^2+x^3^6 isJEE Main 2017 · hard

Other Mathematics topics

Area Under Curves 7 Complex Numbers 10 Conic Sections 5 Differential Equations 9 Differentiation and Application of Derivatives 19 Indefinite and Definite Integrals 16 Limits 9 Matrices and Determinants 19 Permutations and Combinations 10 Probability 9 Quadratic Equations 9 Sequences and Series 9 Sets, Relations and Functions 10 Statistics 6 Straight Lines and Circles 9 Three Dimensional Geometry 14 Trigonometry and Inverse Trigonometric Functions 9 Vector Algebra 8