Observe the seating plan in an auditorium. To help orderly occupation of seats, tokens with numbers such as (1,5), (7,16), (3,4), (10,12) etc. are issued.

**Ordered Pair**

Observe
the seating plan in an auditorium (Fig.1.1). To help orderly occupation of
seats, tokens with numbers such as (1,5), (7,16), (3,4), (10,12) etc. are issued. The person who gets (4,10) will go
to row 4 and occupy the 10^{th}
seat. Thus the first number denotes the row and the second number, the seat.
Which seat will the visitor with token (5,9) occupy? Can he go to 9^{th} row and
take the 5^{th }seat? Do (9,5) and (5,9) refer to the same location? No, certainly! What can you say about
the tokens (2,3),
(6,3) and
(10,3)?

This is
one example where a pair of numbers, written in a particular order, precisely
indicates a location. Such a number pair is called an ordered
pair of numbers. This notion is skillfully used to mathematize the
concept of a “Relation”.

Tags : Relation and Function | Mathematics , 10th Mathematics : UNIT 1 : Relation and Function

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10th Mathematics : UNIT 1 : Relation and Function : Ordered Pair | Relation and Function | Mathematics

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