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Mathematics

Relations and Functions

संबंध और फलन

In Class 12 Mathematics, the chapter Relations and Functions introduces ways of connecting elements of sets and classifying relations as reflexive, symmetric, transitive, and equivalence relations. It explains functions as special relations, including one-one and onto functions, and develops understanding of how functions map one set to another. The chapter also covers binary operations and their basic properties.

Introduction to Relations

संबंधों का परिचय

In Class 12 Mathematics, under the chapter Relations and Functions, Introduction to Relations explains a relation as a subset of a Cartesian product. Students learn to form and count relations on sets, and identify important examples such as empty, universal and identity relations. The topic also introduces conditions used to recognise reflexive and symmetric relations.

Types of relations

Reflexive relation

Symmetric relation

Transitive relation

Equivalence relation

Functions

One-one function

Onto function

Binary operations