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Relations and Functions: Chapter 1 Quiz

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Questions and Answers

What is the mathematical definition of a relation R from set A to set B?

The Cartesian product of A and B

The set of all ordered pairs from A to B

A function from A to B

An arbitrary subset of A × B (correct)

Which of the following is an example of a relation from set A to set B?

{(a, b) ∈ A × B: a is taller than b}

{(a, b) ∈ A × B: a is brother of b} (correct)

{(a, b) ∈ A × B: a is best friend of b}

{(a, b) ∈ A × B: a is cousin of b}

What does the domain of a function represent?

The set of ordered pairs

The set of all possible input values (correct)

The output values of the function

The range of the function

In mathematics, what is meant by the term 'co-domain'?

The set that contains all possible output values Signup and view all the answers

What is the significance of recognizing a connection or link between two objects or quantities in mathematics?

It forms the basis for defining relations and functions Signup and view all the answers

What is the mathematical definition of a relation R from set A to set B?

A relation R from A to B is an arbitrary subset of A × B Signup and view all the answers

What does the term 'co-domain' represent in mathematics?

The set of all possible output values of a function Signup and view all the answers

Which of the following best describes the concept of 'relation' in mathematics?

Two objects or quantities are related if there is a recognisable connection or link between them Signup and view all the answers

What does the domain of a function represent?

The set of all possible input values for the function Signup and view all the answers

Which best describes the beauty of mathematics according to G. H. Hardy?

'Mathematical beauty can be hard to define but can be recognized.' Signup and view all the answers

Study Notes

The text discusses the concept of relations and functions, with a focus on relations between sets, in mathematics.
Two objects or quantities are considered related if there is a recognizable connection or link between them, as in the English language.
In the context of the text, sets A and B represent students from different classes in a school.
Examples of relations between these sets are given: (i) students being brothers or sisters, (ii) students having different ages, (iii) students obtaining different total marks in exams, and (iv) students living in the same locality.
Mathematically, a relation R from set A to set B is defined as an arbitrary subset of the Cartesian product A × B.

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Description

Test your knowledge on relations, functions, domain, co-domain, and range as introduced in Class XI. Explore different types of specified mathematical concepts and their applications.