Class 11 Mathematics — Chapter 2: RELATIONS AND FUNCTIONS

What you'll learn

• ▸Ordered Pairs and Cartesian Product (A × B)
• ▸Equality of Ordered Pairs
• ▸Cardinality of Cartesian Products (n(A × B))
• ▸Ordered Triplets and Geometric Interpretation
• ▸Definition of a Relation
• ▸Domain, Codomain, and Range of a Relation
• ▸Representation of Relations
• ▸Total Number of Relations

Chapter Summary

--- PAGE 1 --- Chapter 2 RELATIONS AND FUNCTIONS ❖Mathematics is the indispensable instrument of all physical research. — BERTHELOT ❖ 2.1 Introduction Much of mathematics is about finding a pattern – a recognisable link between quantities that change. In our daily life, we come across many patterns that characterise relations such as brother and sister, father and son, teacher and student. In mathematics also, we come across many relations such as number m is less than number n, line l is parallel to line m, set A is a subset of set B. In all these, we notice that a relation involves pairs of objects in certain order. In this Chapter, we will learn how to link pairs of objects from two sets and then introduce relations between the two objects in the pair. Finally, we will learn about special relations which will qualify to be functions. The concept of function is very important in mathematics since it captures the idea of a mathematically precise correspondence between one quantity …

Practice Questions from this Chapter

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1. Illustrate Cartesian product visually. Get Solution →
2. Explain ordered pairs' uses. Get Solution →
3. Describe different types of sets. Get Solution →
4. What is the Cartesian product P × Q of two non-empty sets P and Q? Get Solution →
5. If set A has p elements and set B has q elements, how many elements will the Cartesian product A × B have? Get Solution →
6. An ordered pair (a, b, c) where a, b, c belong to the same set A is called what? Get Solution →
7. When are two ordered pairs (a, b) and (c, d) considered equal? Get Solution →
8. What is a relation R from a non-empty set A to a non-empty set B? Get Solution →

Did you know?

• 💡 The mathematical concept of 'sets' was introduced by Georg Cantor in the late 19th century.
• 💡 An empty set contains no elements, yet it is a fundamental concept in mathematics.
• 💡 Ordered pairs are essential for describing locations in video games and computer graphics.
• 💡 Rene Descartes invented the Cartesian coordinate system, which uses ordered pairs.
• 💡 There are infinitely many points on a line, each represented by an ordered value.

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