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Relations and Functions

ICSE · Class 12 · Mathematics

Step-by-step guide to study Relations and Functions in ICSE Class 12 Mathematics. Topics to cover, practice strategy, and time allocation.

104 questions28 flashcards5 concepts

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A visual representation of a relation R from set A to set B as a subset of the Cartesian product A x B, showing elements of A mapped to elements of B.
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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 104 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

  • Cartesian product forms ordered pairs from two sets.
  • Order in ordered pairs is important.
  • n(A x B) = pq when n(A) = p and n(B) = q.

  • A relation from A to B is any subset of A x B.
  • A relation on A is a relation from A to itself.
  • Number of relations from A to B is 2^(pq).

  • Domain comes from first components.
  • Range comes from second components.
  • Co-domain is the target set B.

Common Mistakes to Avoid

Any set of ordered pairs on a set is automatically a relation on that set.

Range and co-domain mean the same thing.

To find the inverse relation, only the symbol changes; the ordered pairs stay in the same order.

Memory Tips

Cartesian product of two sets

Number of elements in Cartesian product

Relation from A to B

Relation on a set

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Frequently Asked Questions

What are the important topics in Relations and Functions for ICSE Class 12 Mathematics?
Key topics in Relations and Functions include Comprehensive Overview of Relations and Functions Chapter, Shows how Cartesian Product creates all ordered pairs from two sets, Arrow diagram showing a relation from set A to set B with multiple connections. These are the concepts ICSE Class 12 examiners draw on most — study them first, then practise related questions.
How to score full marks in Relations and Functions — ICSE Class 12 Mathematics?
Understand the core concepts first, then work through the 104 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

All 13 chapters — ICSE Class 12 Mathematics Study Plan

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