Chapter 4 of 42
Syllabus
Relations and Functions — Syllabus
JEE Advanced · Mathematics
Free Relations and Functions syllabus for JEE Advanced Mathematics 2026 — topics covered, weightage, and preparation priorities for this chapter.
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Topics covered in Relations and Functions for JEE Advanced Mathematics.
Topics in Relations and Functions
1
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
2
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
3
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|
4
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)
Frequently 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 37 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.
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