Relations and Functions — Revision Notes
JEE Advanced · Mathematics
Quick revision notes for Relations and Functions — key concepts, formulas, and definitions for JEE Advanced Mathematics preparation.
Revision Notes — Relations and Functions
Key concepts, formulas, and definitions from Relations and Functions for JEE Advanced Mathematics preparation.
Key Topics to Revise
Relations: Types and Properties
- A relation R from set A to set B is a subset of A × B
- Reflexive: Every element is related to itself (aRa for all a ∈ A)
- Symmetric: If aRb then bRa for all a,b ∈ A
Functions: One-One, Many-One, Onto
- Function f: A → B assigns unique image to each element in domain
- One-one (Injective): Different inputs give different outputs
- Many-one: At least two inputs give same output
Modulus Functions and Inequalities
- |x| = x if x ≥ 0, |x| = -x if x < 0
- |x - a| represents distance from point a on number line
- Properties: |xy| = |x||y|, |x/y| = |x|/|y|, ||x| - |y|| ≤ |x ± y| ≤ |x| + |y|
Trigonometric and Inverse Trigonometric Functions
- sin⁻¹x: domain [-1,1], range [-π/2, π/2]
- cos⁻¹x: domain [-1,1], range [0, π]
- tan⁻¹x: domain R, range (-π/2, π/2)
Get complete revision notes with diagrams and examples — continue in Super Tutor
Get detailed revision notes for Relations and Functions
Super Tutor gives you interactive content for every chapter of JEE Advanced Mathematics — summaries, quizzes, flashcards, and more.
Try Super Tutor — It's FreeFrequently Asked Questions
What topics are covered in Relations and Functions for JEE Advanced?
Relations and Functions is an important chapter in JEE Advanced Mathematics. It covers key concepts and formulas that are frequently tested in the exam. Key topics include: Relations: Types and Properties, Functions: One-One, Many-One, Onto, Modulus Functions and Inequalities, Trigonometric and Inverse Trigonometric Functions.
How important is Relations and Functions for JEE Advanced?
Relations and Functions is a frequently tested chapter in JEE Advanced Mathematics. Questions from this chapter appear regularly in previous year papers. There are 34 practice questions available for this chapter.
How to prepare Relations and Functions for JEE Advanced?
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.