Mathematics · JEE

Binomial Theorem and Its Simple Applications Concepts for JEE

19+ syllabus-aligned questions available

Quick answer

Master Binomial Theorem and Its Simple Applications 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 and Its Simple Applications before speed practice. This guide covers what JEE expects and how to test yourself with MCQs.

Concept explainer

Concept overview for Binomial Theorem and Its Simple Applications covering 2 JEE syllabus subtopics including Binomial theorem for a positive integral index, General term and middle term and simple applications.

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
Understand the definition and scope of General term and middle term and simple applications in the JEE syllabus
Memorise key formulas and standard results linked to General term and middle term and simple applications
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
Revise General term and middle term and simple applications with a one-page formula sheet before attempting mixed tests
After each practice set, log mistakes specific to General term and middle term and simple applications 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.

JEE Formula Sheet

33+ important formulas for Binomial Theorem and Its Simple Applications

View formula sheet

Subtopics in Binomial Theorem and Its Simple Applications

View Binomial Theorem and Its Simple Applications formula sheet — 33+ JEE formulas

Free sample questions

Attempt 8 free MCQs for Binomial Theorem and Its Simple Applications. Unlock 11+ more with Pro.

Unlock full bank

Q1MathsUnit 5: Binomial Theorem and Its Simple Applications

The coefficient of

x^{9}

in the expansion of

\left(x^{3}+\frac{1}{2^{t}}\right)^{11},

where

t=\log _{\sqrt{2}}\left(x^{\frac{3}{2}}\right)

Q2MathsUnit 5: Binomial Theorem and Its Simple Applications

Sum of coefficients in the expeansion of

(a+b+c)^{8}

Q3MathsUnit 5: Binomial Theorem and Its Simple Applications

If it is known that the third term of the binomial expansion

\left(x+x^{\log _{10} x}\right)^{3}

10^{6}

then

x

is equal to

Q4MathsUnit 5: Binomial Theorem and Its Simple Applications

If the middle term in the expansion of

\left(x^{2}+\frac{1}{x}\right)^{n}

924 x^{6},

then

n=

Q5MathsUnit 5: Binomial Theorem and Its Simple Applications

Evaluate the following

(0.98)^{2}

Q6MathsUnit 5: Binomial Theorem and Its Simple Applications

The coeffcient of

x^{10}

in the expansion of

(1+x)^{2}\left(1+x^{2}\right)^{3}\left(1+x^{3}\right)^{4}

is equal to

Q7MathsUnit 5: Binomial Theorem and Its Simple Applications

The number of terms with integral coefficients in the expansion of

\left(7^{1 / 3}+5^{1 / 2} \cdot x\right)^{600}

Q8MathsUnit 5: Binomial Theorem and Its Simple Applications

\forall n \in N, 3^{3 n}-26^{n}

is divisible by

Want unlimited Binomial Theorem and Its Simple Applications practice?

Pro unlocks the full question bank, topic filters, and attempt history.

Get started free View Pro plans

Frequently asked questions

What concepts in Binomial Theorem and Its Simple Applications are essential for JEE?

Focus on core ideas across Binomial theorem for a positive integral index, General term and middle term and simple applications. JEE tests application, not just memorisation.