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Relations and Functions

Jharkhand Board · Class 11 · Mathematics

Step-by-step guide to study Relations and Functions in Jharkhand Board Class 11 Mathematics. Topics to cover, practice strategy, and time allocation.

70 questions20 flashcards5 concepts

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Study Plan

1
Day 1–2

Learn the Theory

Read the textbook chapter carefully. Note down definitions, formulas, and key concepts.

2
Day 3

Practice Problems

Solve textbook exercises and additional practice questions. There are 70 questions available for this chapter.

3
Day 4

Revise & Test

Revise key formulas and concepts without looking at notes. Take a practice quiz to test your understanding. Mark weak areas for re-revision.

4
Day 7

Spaced Revision

Revisit Relations and Functions after a week. Use flashcards for quick recall. Solve previous year questions from this chapter.

What to Focus On

  • Ordered pair (a, b): order of elements is strictly important; (a, b) ≠ (b, a) unless a = b
  • A × B = {(a, b) : a ∈ A, b ∈ B} — all possible ordered pairs
  • n(A × B) = n(A) × n(B) — multiply the number of elements

  • R is a relation from A to B means R ⊆ A × B
  • Domain = set of all first elements; Range = set of all second elements
  • Codomain = entire set B; Range ⊆ Codomain always

  • Function: every element of domain A has exactly ONE image in B
  • Many-to-one is allowed in a function; one-to-many is NOT allowed
  • Every function is a relation but not every relation is a function

Common Mistakes to Avoid

Every relation from set A to set B is a function

A × B and B × A are always the same set

The range of a function is always equal to its codomain

Memory Tips

Ordered Pair – order matters, (a,b) ≠ (b,a)

Cartesian Product A×B = all ordered pairs from A and B

n(A×B) = n(A) × n(B)

A×B ≠ B×A (Cartesian product is not commutative)

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Frequently Asked Questions

What are the important topics in Relations and Functions for Jharkhand 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 Jharkhand Board Class 11 examiners draw on most — study them first, then practise related questions.
How to score full marks in Relations and Functions — Jharkhand 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.

More resources for Relations and Functions

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