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Binomial theorem for a positive integral index Concepts for JEE

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Quick answer

Master Binomial theorem for a positive integral index by understanding definitions, standard results, and typical JEE question patterns — then practise with syllabus-aligned MCQs on Goodmarks.

Build clear conceptual foundations for Binomial theorem for a positive integral index before speed practice. This guide covers what JEE expects and how to test yourself with MCQs.

Concept explainer

Binomial theorem for a positive integral index is a core JEE Main Mathematics subtopic under Binomial Theorem and Its Simple Applications. Master the definitions, standard results, and typical MCQ patterns tested in JEE Main and Advanced.

Key points

  • Understand the definition and scope of Binomial theorem for a positive integral index in the JEE syllabus
  • Memorise key formulas and standard results linked to Binomial theorem for a positive integral index
  • Practise 20–40 syllabus-aligned MCQs with step-by-step solutions

JEE tips

  • Revise Binomial theorem for a positive integral index with a one-page formula sheet before attempting mixed tests
  • After each practice set, log mistakes specific to Binomial theorem for a positive integral index and reattempt after 48 hours

Common trap

Students often rush Binomial theorem for a positive integral index questions without checking units, sign conventions, or boundary conditions — always verify assumptions before calculating.

Syllabus context

Part of Binomial Theorem and Its Simple Applications in JEE Main Mathematics.

Free sample questions

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Q1MathsUnit 5: Binomial Theorem and Its Simple Applications
Sum of coefficients in the expeansion of (a+b+c)8(a+b+c)^{8} is
Q2MathsUnit 5: Binomial Theorem and Its Simple Applications
Evaluate the following (0.98)2(0.98)^{2}
Q3MathsUnit 5: Binomial Theorem and Its Simple Applications
The coeffcient of x10x^{10} in the expansion of (1+x)2(1+x2)3(1+x3)4(1+x)^{2}\left(1+x^{2}\right)^{3}\left(1+x^{3}\right)^{4} is equal to
Q4MathsUnit 5: Binomial Theorem and Its Simple Applications
The number of terms with integral coefficients in the expansion of (71/3+51/2⋅x)600\left(7^{1 / 3}+5^{1 / 2} \cdot x\right)^{600} is
Q5MathsUnit 5: Binomial Theorem and Its Simple Applications
∀n∈N,33n−26n\forall n \in N, 3^{3 n}-26^{n} is divisible by
Q6MathsUnit 5: Binomial Theorem and Its Simple Applications
Using identities, evaluate 9982998^{2}
Q7MathsUnit 5: Binomial Theorem and Its Simple Applications
The number of dissimilar terms in the expansion of (1−3x+3x2−x3)20\left(1-3 x+3 x^{2}-x^{3}\right)^{20} is
Q8MathsUnit 5: Binomial Theorem and Its Simple Applications
Using the formula for squaring a binomial the value of (999)2(999)^{2} is:

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