Class 11 Mathematics — Chapter 8: Binomial Theorem
66 practice questions · 22 Easy · 22 Medium · 22 Hard
Practise Class 11 Mathematics Chapter 8, "Binomial Theorem", with 66 NCERT-aligned multiple-choice questions. The set is split into 22 Easy, 22 Medium and 22 Hard questions, so you can warm up on the fundamentals and then push into the exam-level problems that separate top scorers in CBSE Board exams, JEE Main and JEE Advanced.
"Binomial Theorem" is one of the chapters where problem-solving speed, formula recall and step-by-step reasoning really pays off. Each MCQ on this chapter is timed and uses exam-grade marking (+2 correct, −1 wrong, 0 skipped), training the same accuracy-under-pressure that real papers demand. Every question carries a short explanation, so a wrong answer becomes a quick lesson rather than a dead end — the fastest way to close gaps before a test.
Use this chapter as targeted revision: attempt the Easy set first to confirm your basics on Binomial Theorem, then move to Medium and Hard to test application and problem-solving. Your accuracy, streaks and XP save automatically, and the chapter feeds into your overall Class 11 Mathematics mastery score. A few sample questions are shown below; sign in free to practise all 66.
Key concepts: Binomial Theorem (Class 11 Mathematics)
This chapter develops the Binomial Theorem for positive integral indices, the general and middle terms, and their applications.
- Binomial Theorem
- (a+b)ⁿ expands as a sum of n+1 terms with binomial coefficients nCr.
- General term
- The (r+1)th term is T(r+1) = nCr·a^(n−r)·b^r — used to find any specific term.
- Middle term
- For even n there is one middle term; for odd n there are two middle terms.
- Binomial coefficients
- nC0, nC1, …, nCn; they are symmetric and their sum is 2ⁿ.
- Applications
- Finding a particular term, term independent of x, and approximate values.
Key formulas — Binomial Theorem
💡 Exam tips for Binomial Theorem
- Use the general term T(r+1) to target a specific power of x or the term independent of x.
- Count terms as n+1 in the expansion of (a+b)ⁿ; locate the middle term accordingly.
Sample questions
(a+b)² =
Standard expansion.
General term Tᵣ₊₁ in (a+b)ⁿ:
Standard general term.
Sum of all coefficients in (1+x)ⁿ:
Put x=1.
Binomial Theorem — FAQs
What are the key concepts in Class 11 Mathematics Binomial Theorem?+
This chapter develops the Binomial Theorem for positive integral indices, the general and middle terms, and their applications. Key ideas include Binomial Theorem, General term, Middle term, Binomial coefficients, Applications.
What does Class 11 Mathematics Chapter 8 (Binomial Theorem) cover on XamBaaz?+
It covers 66 NCERT-aligned MCQs on "Binomial Theorem" — 22 Easy, 22 Medium and 22 Hard — each with a timed quiz and an instant explanation, suitable for CBSE Board exams, JEE Main and JEE Advanced.
Are these "Binomial Theorem" questions free to practise?+
Yes — sign in with Google to practise "Binomial Theorem" free. Full unlimited access is ₹999/year (limited-time launch price), with no per-chapter charges.
How should I revise "Binomial Theorem" for the exam?+
Start with the Easy quiz to confirm your fundamentals, then attempt Medium and Hard for application-level practice. Review each explanation, retry the questions you miss, and track your accuracy on this chapter until it is consistently high.
Practise all 66 questions free
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