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Relations and Functions

ICSE · Class 12 · Mathematics

Practice quiz for Relations and Functions — ICSE Class 12 Mathematics. MCQs and questions with answers to test your preparation.

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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Quick Quiz: Relations and Functions

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1

If A = {1, 2} and B = {3, 4}, then n(A × B) is:

2

A relation R on a set A is called the empty (void) relation if:

3

A relation R on a set A is reflexive if:

4

A relation R on a set A is symmetric if:

104 Questions·
multiple choicetrue false

Sample Questions

1multiple choice
1 marks

A relation R on a set A is transitive if:

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(a,b),(b,c) ∈ R ⟹ (a,c) ∈ R

Transitivity: if a relates to b and b relates to c, then a must relate to c.

2true false
1 marks

The identity relation on any set A is always reflexive.

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True

The identity relation I_A = {(a,a): a ∈ A} contains all diagonal pairs, so it is reflexive by definition.

3true false
1 marks

The empty relation on any non-empty set A is symmetric.

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True

Since the empty relation has no pairs at all, the symmetric condition (a,b)∈R ⟹ (b,a)∈R is vacuously true.

4multiple choice
1 marks

The universal relation on a set A means:

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R = A × A

The universal relation contains every possible ordered pair from A × A, so R = A × A.

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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.

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