Relations and Functions
Master Relations and Functions for Class 12 Mathematics with structured notes and practice.
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Composition of Functions in Class 12 Maths – gof, fog, and Key Properties
Learn composition of functions from NCERT Class 12 Maths Chapter 1. Understand gof and fog, explore their properties.
Bijective and Invertible Functions – Class 12 Maths Chapter 1 Complete Guide
Master bijective and invertible functions for Class 12 Maths. Learn the one-one and onto conditions, finding inverse functions, and solved NCERT examples.
One-One and Onto Functions – Types of Functions in Class 12 Maths Explained
Once you have understood what a function is, the next question naturally is: what kind of function is it? Class 12 Maths Chapter 1 introduces three critical types — one-one (injective), onto (surjective), and bijective — that describe how a function maps its domain to its co-domain.
Equivalence Relations and Equivalence Classes – Class 12 Maths Explained
Among all the concepts in Class 12 Maths Chapter 1, the equivalence relation is the most elegant — and one of the most frequently tested. It combines three properties into a single, powerful idea that appears in number theory, geometry, and computer science.
Types of Relations in Class 12 Maths – Reflexive, Symmetric, Transitive & More
One of the highest-yield topics in Class 12 Mathematics Chapter 1 is the classification of relations. Every CBSE board paper and most competitive entrance exams like CUET, IPMAT, and NPAT include at least one question asking you to identify whether a given relation is reflexive, symmetric, transitive, or an equivalence relation.
What Are Relations and Functions? – Class 12 Maths Chapter 1 Explained
Master Relations and Functions Class 12 concepts. Learn the key differences, types, and exam questions for CBSE board and CUET prep.