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Sets

ICSE · Class 11 · Mathematics

Quick revision notes for Sets — ICSE Class 11 Mathematics. Key concepts, formulas, and definitions for last-minute revision.

58 questions30 flashcards5 concepts

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A comparison illustrating how the same set can be represented using the Roster (listing) method and the Set-Builder method, with clear examples.
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Key Topics to Revise

1

1. Sets and Their Representation

  • A set is a well-defined collection of objects.
  • A collection is well-defined when it is possible to decide whether an object belongs to it or not, and the decision does not vary from person to person.
  • Sets are denoted by capital letters such as A, B, C, and elements are usually denoted by small letters such as a, b, c.
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2. Subsets, Proper Subsets, Universal Set, and Intervals

  • If every element of A is also an element of B, then A is a subset of B, written A ⊆ B.
  • Every set is a subset of itself.
  • The empty set is a subset of every set.
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3. Power Set and Number of Subsets

  • The power set P(A) is the collection of all subsets of A.
  • In a power set, every element is a set.
  • If A = φ, then P(A) = {φ}.
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4. Operations on Sets

  • Union of A and B contains elements that are in A or in B or in both.
  • Intersection of A and B contains elements common to both sets.
  • Two sets are disjoint if their intersection is empty.

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Full Notes

Key Concepts

A set is a wellRoster form lists all elements insideImportant types include empty setA set A is a subsetOpen

Frequently Asked Questions

What are the important topics in Sets for ICSE Class 11 Mathematics?
Key topics in Sets include Complete Set Theory Concept Map, Complete Sets Chapter Overview, Complete Overview of Set Theory Concepts. These are the concepts ICSE Class 11 examiners draw on most — study them first, then practise related questions.
How to score full marks in Sets — ICSE Class 11 Mathematics?
Understand the core concepts first, then work through the 58 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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