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L9 : Example Reflexive Symmetric - Relations and Functions, Maths, Class 12 Video Lecture

FAQs on L9 : Example Reflexive Symmetric - Relations and Functions, Maths, Class 12 Video Lecture

1. What is a reflexive relation?

Ans. A reflexive relation is a relation in which every element of the set is related to itself. In other words, for every element 'a' in the set, (a, a) belongs to the relation.

2. What is a symmetric relation?

Ans. A symmetric relation is a relation in which if (a, b) belongs to the relation, then (b, a) also belongs to the relation. In other words, for every element 'a' and 'b' in the set, if (a, b) belongs to the relation, then (b, a) also belongs to the relation.

3. What is the difference between a reflexive and a symmetric relation?

Ans. The main difference between a reflexive and a symmetric relation is their properties. A reflexive relation requires every element to be related to itself, while a symmetric relation requires that if element 'a' is related to element 'b', then element 'b' must also be related to element 'a'.

4. Can a relation be both reflexive and symmetric?

Ans. Yes, a relation can be both reflexive and symmetric. In such a case, every element of the set is related to itself, and for every pair of elements (a, b) that belong to the relation, the pair (b, a) also belongs to the relation.

5. How do reflexive and symmetric relations relate to functions?

Ans. Reflexive and symmetric relations are properties that can be used to define certain types of functions. For example, a reflexive and symmetric relation can be used to define an equivalence relation, which in turn can be used to define an equivalence class. Functions can be defined on these equivalence classes, leading to the concept of a quotient set or factor set.

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Sep 20, 2025 Last updated

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