Chapter 1 of 27
Revision Notes
Relations And Functions — Revision Notes
J&K CET · Mathematics
Free Relations And Functions revision notes for J&K CET Mathematics 2026 — key concepts, formulas, and definitions for quick revision.
Interactive on Super Tutor
Studying Relations And Functions? Get the full chapter — free.
Practice questions, revision notes, formula sheet and AI doubt-solver — built for J&K CET Mathematics.
Super Tutor
This is just one of 11+ visuals inside Super Tutor's Relations And Functions chapter
Explore the full setRevision Notes — Relations And Functions
Key concepts, formulas, and definitions from Relations And Functions for J&K CET Mathematics preparation.
Key Topics to Revise
1
1.2 Types of Relations - Problem-Solving Approach
- A relation R from set A to B is a subset of A × B, i.e., R ⊆ A × B
- Domain of R = {a ∈ A : (a,b) ∈ R for some b ∈ B}
- Range of R = {b ∈ B : (a,b) ∈ R for some a ∈ A}
2
1.3 Types of Functions - Step-by-Step Analysis
- A function f: A → B assigns exactly one element in B to each element in A
- Functions can be one-one (injective), onto (surjective), or bijective (both)
- Total functions from A to B = [n(B)]^[n(A)]
3
1.4 Composition and Invertible Functions - Advanced Problem Solving
- Composition (g∘f)(x) = g(f(x)) - apply f first, then g
- Composition is associative: f∘(g∘h) = (f∘g)∘h but generally not commutative
- Function has inverse if and only if it is bijective
Get complete revision notes with diagrams and examples — continue in Super Tutor
Key Concepts
StepStepProblemStep
Frequently Asked Questions
What topics are covered in Relations And Functions for J&K CET?
Relations And Functions is an important chapter in J&K CET Mathematics. It covers key concepts and formulas that are frequently tested in the exam. Key topics include: 1.2 Types of Relations - Problem-Solving Approach, 1.3 Types of Functions - Step-by-Step Analysis, 1.4 Composition and Invertible Functions - Advanced Problem Solving.
How important is Relations And Functions for J&K CET?
Relations And Functions is a frequently tested chapter in J&K CET Mathematics. Questions from this chapter appear regularly in previous year papers. There are 348 practice questions available for this chapter.
How to prepare Relations And Functions for J&K CET?
Start by understanding the core concepts, then solve practice questions. Focus on formulas and their applications. Use revision notes for quick review before the exam.
More resources for Relations And Functions
For J&K CET aspirants
Get the full Relations And Functions chapter — for free.
Practice questions, revision notes, formula sheet and AI doubt-solver for J&K CET Mathematics.