For the relation on A={1,2,3,4} whose equivalence classes are {1,2} and {3,4}, which pair is definitely absent?
Answer and explanation
Correct answer: (1,3)
Option C is correct because two elements are related exactly when they belong to the same equivalence class. The elements 1 and 3 lie in different classes, {1,2} and {3,4}, so (1,3) cannot belong to R. In contrast, (1,2), (2,1), and (4,3) connect elements within one class and therefore must belong to the relation.
Frequently asked questions
What is the correct answer to this question?
(1,3)
Why is this the correct answer?
Option C is correct because two elements are related exactly when they belong to the same equivalence class. The elements 1 and 3 lie in different classes, {1,2} and {3,4}, so (1,3) cannot belong to R. In contrast, (1,2), (2,1), and (4,3) connect elements within one class and therefore must belong to the relation.
Which subject and chapter does this question cover?
This is a Class 12 Mathematics question. Chapter: Relations and Functions. Topic: Introduction to Relations.
