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Relations and Functions

Madhya Pradesh Board · Class 12 · Mathematics

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

119 questions52 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 119 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

  • A relation in A is a subset of A × A.
  • Empty relation: R = ϕ.
  • Universal relation: R = A × A.

  • Equivalence classes are mutually disjoint.
  • The union of all equivalence classes is the whole set.
  • For 2 divides a-b on Z, [0] is the even integers and [1] is the odd integers.

  • One-one means distinct inputs have distinct outputs.
  • Many-one means different inputs may have the same output.
  • Onto means every codomain element has a preimage.

Common Mistakes to Avoid

A relation from a set to itself must connect every element to every other element.

Empty relation and universal relation mean the same thing.

If a relation is symmetric, then it must also be transitive.

Memory Tips

Empty relation and universal relation

Reflexive, symmetric, transitive

Equivalence relation as partition

Relation on integers given by 2 divides a-b

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Frequently Asked Questions

What are the important topics in Relations and Functions for Madhya Pradesh Board Class 12 Mathematics?
Relations and Functions covers several key topics that are frequently asked in Madhya Pradesh Board Class 12 board exams. Focus on the core concepts listed on this page and practise related questions to build confidence.
How to score full marks in Relations and Functions — Madhya Pradesh Board Class 12 Mathematics?
Understand the core concepts first, then work through the 119 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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