Practice Types of Relations - 1.2 | 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 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.

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 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.

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Challenge Problems

Push your limits with challenges.

Question 1

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

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

Question 2

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.

Challenge and get performance evaluation