Practice Transitive Relation - 1.2.3 | 1. Relations and Functions | ICSE 12 Mathematics
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Transitive Relation

1.2.3 - Transitive Relation

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Practice Questions

Test your understanding with targeted questions

Question 1 Easy

Define transitive relation in your own words.

💡 Hint: Think about how relationships can continue in a chain.

Question 2 Easy

Given R = {(a, b), (b, c), (c, d)}, is R transitive?

💡 Hint: Look for logical connections between elements.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What is a transitive relation?

A relation that is never reflexive
A relation where if (A
B) and (B
C) implies (A
C)
A relation that is symmetric

💡 Hint: Focus on the property that connects pairs together.

Question 2

True or False: All transitive relations are symmetric.

True
False

💡 Hint: Consider what symmetry means in a relation.

1 more question available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Consider the relation R = {(1, 2), (2, 3), (3, 4), (1, 4)}. Is this relation transitive? Provide evidence.

💡 Hint: Check each pair against others to confirm.

Challenge 2 Hard

Create your own relation that is not transitive and explain why it fails the transitive property.

💡 Hint: Think about what key pair is missing.

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