# NIOS Mathematics Chapter 2 Relations and Functions-I Part 1

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## Objectives

## Cartesian Product of Two Sets

If and are two non – empty sets, then their Cartesian product is the set of all ordered pair of elements from and .

Suppose, if and are two non – empty sets, then the Cartesian product of Two Sets, and set is the set of all ordered pairs such that and which is denoted as .

Example:

If and find .

Solution:

Number of elements in the Cartesian product of two finite sets

Let A and B be two non-empty sets. We know that Then number of elements in Cartesian product of two finite sets and

i.e.

Example:

Suppose and , show that

Solution:

Here

Cartesian product of the set of real numbers with itself upto

Ordered triplet

Here is called an ordered triplet.

The Cartesian product represents the set which represents the coordinates of all the points in two dimensional plane and the Cartesian product represent the set which represents the coordinates of all the points in three dimensional space.

Example:

If form the set

Solution: