Practice Definition - 4.1 | Chapter 1 – Relations and Functions | ICSE Class 12 Mathematics
K12 Students

Academics

AI-Powered learning for Grades 8–12, aligned with major Indian and international curricula.

Academics
Professionals

Professional Courses

Industry-relevant training in Business, Technology, and Design to help professionals and graduates upskill for real-world careers.

Professional Courses
Games

Interactive Games

Fun, engaging games to boost memory, math fluency, typing speed, and English skills—perfect for learners of all ages.

games

Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

Define a relation.

💡 Hint: Focus on how elements from two sets interact.

Question 2

Easy

What is a reflexive relation?

💡 Hint: Think of self-pairs.

Practice 4 more questions and get performance evaluation

Interactive Quizzes

Engage in quick quizzes to reinforce what you've learned and check your comprehension.

Question 1

What defines a reflexive relation?

  • A relation with unique pairs.
  • A relation consisting of (x
  • x) for all elements.
  • A relation with only symmetrical pairs.

💡 Hint: Reflect on self-connections in sets.

Question 2

True or False: Every bijective function is also surjective.

  • True
  • False

💡 Hint: Consider the definitions of surjective and injective together.

Solve 2 more questions and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Create a function from set A = {1, 2, 3, 4} to set B = {x, y}. Can such a function be injective? Explain why or why not.

💡 Hint: Consider uniqueness in mappings.

Question 2

Consider sets A = {1, 2} and B = {a, b, c}. Define a function from A to B and evaluate its surjectiveness.

💡 Hint: Check the coverage of outputs.

Challenge and get performance evaluation