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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
Define a symmetric relation.
💡 Hint: Think of how pairs relate to each other.
Question 2
Easy
Is an empty relation symmetric?
💡 Hint: Consider the lack of pairs in the relation.
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 defines a symmetric relation?
- Only (a
- b) present
- (b
- a) must also be present
- No pairs required
💡 Hint: Recall the condition for symmetry.
Question 2
True or False: An empty relation is symmetric.
- True
- False
💡 Hint: Think about lack of any relationship.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Given the relation R = {(1, 2), (2, 3), (1, 3)}, determine if it is symmetric, and if not, why.
💡 Hint: Look for missing reciprocal pairs.
Question 2
Create a symmetric relation with at least four pairs. Write out its matrix.
💡 Hint: Ensure pairs maintain the symmetry condition while forming the matrix.
Challenge and get performance evaluation