Skip to main content
Super TutorResources
Chapter 2 of 31
QuestionsNotesFlashcardsSummaryFormulasQuizConceptsSyllabusPlan
Revision Notes

Sets, Relations and Functions

Telangana Open School (TOSS) · Class 12 · Mathematics

Quick revision notes for Sets, Relations and Functions — Telangana Open School (TOSS) Class 12 Mathematics. Key concepts, formulas, and definitions for last-minute revision.

49 questions30 flashcards5 concepts

Interactive on Super Tutor

Studying Sets, Relations and Functions? Get the full interactive chapter.

Quizzes, flashcards, AI doubt-solver and a step-by-step study plan — built for revision notes and more.

Try Super Tutor — Free

1,000+ Class 12 students started this chapter today

Key Topics to Revise

1

Sets and Cartesian Product

  • A set is a well-defined collection of distinct objects.
  • Order of elements in a set does not matter and no element repeats.
  • Standard notations: N (natural numbers), Z (integers), Q (rational), R (real), C (complex).
2

Relations and Functions

  • A relation from set A to B is any subset of A × B.
  • Domain of a relation is the set of all first elements of its ordered pairs.
  • Range is the set of all second elements; codomain is the full set B.
3

Types of Functions

  • One-One (Injective): Different inputs give different outputs.
  • Onto (Surjective): Every element in codomain is mapped to by some element in domain.
  • Bijective: Both one-one and onto; has an inverse function.
4

Function Operations and Inverses

  • Composition of functions: (fog)(x) = f(g(x)) — apply g first, then f.
  • Order matters: fog ≠ gof in general.
  • Inverse function f⁻¹ exists only if f is bijective (one-one and onto).

Get complete notes with diagrams and examples

Full Notes

Key Concepts

A set is a wellThe Cartesian product of two setsA relation from set AFunctions can be classified based onA function f(x) is even if

Frequently Asked Questions

What are the important topics in Sets, Relations and Functions for Telangana Open School (TOSS) Class 12 Mathematics?
Sets, Relations and Functions covers several key topics that are frequently asked in Telangana Open School (TOSS) Class 12 board exams. Focus on the core concepts listed on this page and practise related questions to build confidence.
How to score full marks in Sets, Relations and Functions — Telangana Open School (TOSS) Class 12 Mathematics?
Understand the core concepts first, then work through the 49 practice questions available for this chapter. Revise formulas and definitions regularly, and use flashcards for quick recall before the exam.

Sources & Official References

Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.

More resources for Sets, Relations and Functions

All 31 chapters — Telangana Open School (TOSS) Class 12 Mathematics Revision Notes

For serious students

Get the full Sets, Relations and Functions chapter — for free.

Quizzes, flashcards, AI doubt-solver and a step-by-step study plan for Telangana Open School (TOSS) Class 12 Mathematics.

Try Super Tutor Free
Try the full chapter — Free