Practice Anti-symmetric Relation - 1.2.4 | Chapter 1 – Relations and Functions | ICSE Class 12 Mathematics
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1.2.4 - Anti-symmetric Relation

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Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

Define an anti-symmetric relation.

💡 Hint: Think of the conditions that must be satisfied for a relation to be anti-symmetric.

Question 2

Easy

Provide an example of an anti-symmetric relation.

💡 Hint: Ensure the pairs do not contradict the anti-symmetric property.

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 an anti-symmetric relation?

  • A relation where a = b
  • A relation that is both symmetric and reflexive
  • A relation where if (a
  • b) and (b
  • a) are in R
  • then a must equal b

💡 Hint: Focus on what conditions need to be met for a relation to be classified as anti-symmetric.

Question 2

True or False: The relation R = {(1, 2), (2, 1)} is anti-symmetric.

  • True
  • False

💡 Hint: Think about the definitions and what they imply about the relationship between the elements.

Solve 1 more question and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Create a new relation on set A = {1, 2, 3, 4} that is anti-symmetric and contains at least five ordered pairs. Explain your choice.

💡 Hint: Ensure you connect pairs such that the anti-symmetric property remains intact throughout.

Question 2

Given two anti-symmetric relations R1 and R2 on the same set, what can you conclude about the union of R1 and R2?

💡 Hint: Examine what conditions still need to hold to maintain the anti-symmetric property.

Challenge and get performance evaluation