NCERT Mathematics · Class XII · Chapter 1

Relations and Functions

Previous Years' Objective Questions — Entrance Exam Series

50Questions
1998–2023Year Span
4Exams
25ySpan
BITSATIIT-JEEJEE AdvancedJEE Main
  • Types of Relations
  • Equivalence Relations
  • Types of Functions
  • Domain & Range
  • Composition of Functions
  • Invertible Functions
  • Binary Operations
Read question stem carefully — identify the type of relation/function asked.
Domain & range — verify against the function's definition.
Timer starts on Q1 — budget ~90 sec per question.
Review skipped questions before Submit.
Topic-wise analysis appears post-submission.
MathJax equations — allow a moment to render.

Relations and Functions reopens the Class XI foundation with a sharper focus on equivalence relations and invertibility — a recurring JEE topic. This bank of 50 questions from 1998–2023 covers every examinable idea, including binary operations and composition of functions.

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Relations & Functions: 50 JEE MCQs with Answers
Relations & Functions: 50 JEE MCQs with Answers — Complete Notes & Solutions · academia-aeternum.com
Mastering **Relations and Functions** is essential for students preparing for **JEE Main, JEE Advanced, BITSAT, Olympiads, KVPY-style examinations, and other competitive entrance tests**. This chapter forms a crucial foundation for understanding domains, ranges, relations, functions, one-one and onto mappings, inverse functions, composition of functions, and equivalence relations. The **50 objective questions** in this practice set are designed around actual competitive-examination questions…
🎓 Class 12 📐 Mathematics 📖 NCERT ✅ Free Access 🏆 CBSE · JEE
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RELATIONS AND FUNCTIONS — Learning Resources

📄 Detailed Notes
✔️ True / False
📌 Exercise
🎯 Advance MCQs
📝 Exercises
RELATIONS AND FUNCTIONS-Exercise 1.2 RELATIONS AND FUNCTIONS-Exercise-1.1 RELATIONS AND FUNCTIONS-Miscellaneous-Exercise

Frequently Asked Questions

It covers relations, types of relations, functions, domain and range, one-one and onto functions, composition of functions, inverse functions, and equivalence relations.

Relations and Functions is a fundamental topic for JEE Main and JEE Advanced and provides concepts frequently used in algebra, calculus, coordinate geometry, and other mathematics problems.

This practice set contains 50 objective-type MCQs with answers and concise explanations.

The questions are based on JEE Main, JEE Advanced, IIT-JEE, BITSAT, KVPY-style, Olympiad, NEET/AIPMT-style, and other competitive-examination patterns.

A function \(f:A\to B\) is one-one if \(f(x_1)=f(x_2)\) implies \(x_1=x_2\); distinct elements of the domain have distinct images.

A function \(f:A\to B\) is onto if every element of \(B\) has at least one preimage in \(A\), so the range equals the codomain.

A function is bijective when it is both one-one and onto; every element of the codomain has exactly one preimage.

Since \(A\times B\) contains \(mn\) ordered pairs, the total number of relations is \(2^{mn}\).

A relation that is simultaneously reflexive, symmetric, and transitive is called an equivalence relation.

Students should master definitions and properties first, then practise domain-range problems, counting functions, composition, inverse functions, and relation-based questions under timed conditions.

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