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Relations and Functions

Himachal Pradesh Board · Class 11 · Mathematics

Complete topic list for Relations and Functions in Himachal Pradesh Board Class 11 Mathematics. Key concepts, sub-topics, and what to focus on for board exams.

70 questions20 flashcards5 concepts

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4 Topics · Himachal Pradesh Board Class 11 Mathematics

Topics in Relations and Functions

1

Cartesian Products of Sets

  • Ordered pairs maintain specific sequence: (a,b) ≠ (b,a) unless a = b
  • Cartesian product A × B contains all possible ordered pairs from sets A and B
  • Number of elements in A × B equals n(A) × n(B)
2

Relations

  • Relations are subsets of Cartesian products with specific conditions
  • Domain consists of all first elements in the relation
  • Range consists of all second elements (outputs) in the relation
3

Functions

  • Functions are special relations where each input has exactly one output
  • Every element in domain must have an image in codomain
  • No element in domain can have multiple images
4

Algebra of Real Functions

  • Real functions can be added, subtracted, multiplied, and divided
  • Operations are performed point-wise: (f+g)(x) = f(x) + g(x)
  • Domain of combined functions is intersection of individual domains

Key Concepts

Central concept: Relations and Functions

Cartesian ProductRelationsFunctionsAlgebra of Real FunctionsTypes of Functions

Frequently Asked Questions

What are the important topics in Relations and Functions for Himachal Pradesh Board Class 11 Mathematics?
Key topics in Relations and Functions include Relations and Functions – Complete Concept Map, Relations and Functions - Full Chapter Concept Hierarchy, Relations and Functions — Complete Concept Map. These are the concepts Himachal Pradesh Board Class 11 examiners draw on most — study them first, then practise related questions.
How to score full marks in Relations and Functions — Himachal Pradesh Board Class 11 Mathematics?
Understand the core concepts first, then work through the 70 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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All 14 chapters — Himachal Pradesh Board Class 11 Mathematics Syllabus

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