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Sets and Relations

Maharashtra Board · Class 11 · Mathematics & Statistics

Quick revision notes for Sets and Relations — Maharashtra Board Class 11 Mathematics & Statistics. Key concepts, formulas, and definitions for last-minute revision.

30 questions20 flashcards5 concepts

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Key Topics to Revise

1

Sets - Basic Concepts and Representation

  • A set is a well-defined collection of distinct objects
  • Sets are represented by capital letters A, B, C and elements by small letters a, b, c
  • Three methods of representation: Roster method, Set-builder method, Venn diagrams
2

Set Operations and Properties

  • Union (A ∪ B): Elements in A or B or both
  • Intersection (A ∩ B): Elements common to both A and B
  • Complement (A'): Elements in universal set U but not in A
3

Intervals on Real Line

  • Open interval (a,b): a < x < b, endpoints not included
  • Closed interval [a,b]: a ≤ x ≤ b, endpoints included
  • Semi-open intervals: [a,b) includes a but not b, (a,b] includes b but not a
4

Cartesian Product and Ordered Pairs

  • Ordered pair (a,b): Order matters, (a,b) ≠ (b,a) unless a = b
  • Cartesian product A × B = {(a,b) : a ∈ A, b ∈ B}
  • n(A × B) = n(A) × n(B)

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Full Notes

Key Concepts

A set is a wellEmpty set (φ)Union (A ∪ B)Two fundamental lawsRepresent continuous sets of real numbers

Frequently Asked Questions

What are the important topics in Sets and Relations for Maharashtra Board Class 11 Mathematics & Statistics?
Sets and Relations covers several key topics that are frequently asked in Maharashtra Board Class 11 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 and Relations — Maharashtra Board Class 11 Mathematics & Statistics?
Start by understanding all key concepts. Practise previous year questions from this chapter. Revise formulas and definitions regularly. Use flashcards for quick revision 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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