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Sets, Relations and Functions

Telangana Open School (TOSS) · Class 12 · Mathematics

Complete topic list for Sets, Relations and Functions in Telangana Open School (TOSS) Class 12 Mathematics. Key concepts, sub-topics, and what to focus on for board exams.

49 questions30 flashcards5 concepts

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4 Topics · Telangana Open School (TOSS) Class 12 Mathematics

Topics in Sets, Relations and Functions

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).

Key Concepts

Central concept: Sets, Relations and Functions

SetsOrdered PairsCartesian ProductRelationsFunctionsGraphical RepresentationAlgebra of FunctionsComposition of Functions

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.

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