Relations and Functions: Chapter 1 Quiz

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10 Questions

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

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

What does the domain of a function represent?

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

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

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

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

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

What does the domain of a function represent?

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

Summary

  • 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.

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.

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