Podcast
Questions and Answers
What is the mathematical definition of a relation R from set A to set B?
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?
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?
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'?
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 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 is the mathematical definition of a relation R from set A to set B?
What does the term 'co-domain' represent in mathematics?
What does the term 'co-domain' represent in mathematics?
Which of the following best describes the concept of 'relation' in mathematics?
Which of the following best describes the concept of 'relation' in mathematics?
What does the domain of a function represent?
What does the domain of a function represent?
Which best describes the beauty of mathematics according to G. H. Hardy?
Which best describes the beauty of mathematics according to G. H. Hardy?
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.
