Practice Types of Relations - 1.2 | 1. Relations and Functions | ICSE 12 Mathematics
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Types of Relations

1.2 - Types of Relations

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Practice Questions

Test your understanding with targeted questions

Question 1 Easy

Define a reflexive relation and give an example.

💡 Hint: Think of a set like {1,2} and how any element relates back to itself.

Question 2 Easy

What characterizes a symmetric relation?

💡 Hint: Consider pairs that involve two different elements.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What makes a relation reflexive?

All related pairs have unique elements.
Every element relates to itself.
Pairs have an inverse relation.

💡 Hint: Think about how relationships establish ties.

Question 2

True or False: A relation can be both symmetric and anti-symmetric.

True
False

💡 Hint: Think about the nature of oppositely paired relationships.

1 more question available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Given the relation R = {(1, 2), (2, 3), (3, 1)}, classify it and explain.

💡 Hint: Evaluate its structure against each type of relation.

Challenge 2 Hard

Design a set containing at least five elements where the relation is an equivalence relation. Name the elements.

💡 Hint: Make sure to include connections that accommodate all three main properties.

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