Practice Transitive Relation - 1.2.3 | Chapter 1 – Relations and Functions | ICSE Class 12 Mathematics
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Practice Questions

Test your understanding with targeted questions related to the topic.

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.

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 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.

Solve 1 more question and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

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.

Question 2

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

💡 Hint: Think about what key pair is missing.

Challenge and get performance evaluation