Class 11 Mathematics — Chapter 2: Relations and Functions
66 practice questions · 22 Easy · 22 Medium · 22 Hard
Practise Class 11 Mathematics Chapter 2, "Relations and Functions", 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.
"Relations and Functions" 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 Relations and Functions, 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: Relations and Functions (Class 11 Mathematics)
This chapter covers ordered pairs, the Cartesian product, relations, and functions with their domain, range and standard real-valued types.
- Cartesian product
- A×B is the set of all ordered pairs (a, b) with a∈A, b∈B; n(A×B) = n(A)·n(B).
- Relation
- A subset of A×B; its domain is the set of first elements, its range the set of second elements.
- Function
- A relation where every element of the domain has exactly one image; written y = f(x).
- Standard functions
- Identity, constant, polynomial, modulus, signum and greatest-integer functions and their graphs.
- Algebra of functions
- Functions can be added, subtracted, multiplied and divided over their common domain.
Key formulas — Relations and Functions
💡 Exam tips for Relations and Functions
- Every function is a relation, but not every relation is a function (check the one-image rule).
- Know the graph and domain/range of the modulus, signum and greatest-integer functions.
Sample questions
Domain of f(x) = √x:
Square root real for non-negative input.
If f(x)=x+1, g(x)=2x, then (f∘g)(3) =
f(g(3))=f(6)=7.
f(x) = x³ on R is:
Strictly increasing, range is R.
Relations and Functions — FAQs
What are the key concepts in Class 11 Mathematics Relations and Functions?+
This chapter covers ordered pairs, the Cartesian product, relations, and functions with their domain, range and standard real-valued types. Key ideas include Cartesian product, Relation, Function, Standard functions, Algebra of functions.
What does Class 11 Mathematics Chapter 2 (Relations and Functions) cover on XamBaaz?+
It covers 66 NCERT-aligned MCQs on "Relations and Functions" — 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 "Relations and Functions" questions free to practise?+
Yes — sign in with Google to practise "Relations and Functions" free. Full unlimited access is ₹999/year (limited-time launch price), with no per-chapter charges.
How should I revise "Relations and Functions" 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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