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Relations and Functions — Important Topics

JEE Mains · Mathematics

Most important topics from Relations and Functions for JEE Mains Mathematics 2026 — high-weightage areas based on previous year analysis.

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Relations and Functions — Syllabus & Topics

Topics covered in Relations and Functions for JEE Mains 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 Mains?
Relations and Functions is an important chapter in JEE Mains 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 Mains?
Relations and Functions is a frequently tested chapter in JEE Mains 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 Mains?
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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