# CLASS-11RELATION & FUNCTION - ORDERED PAIRS

Ordered Pairs

In our daily life, situation wise order is important and in others it is not. For example, when we take off our shoes, it does not matter whether we remove the shoe on our right first or left first. We will ultimately get both shoes off. The end result is not affected by the order in which we perform the steps. On the other hand, if we have a sock and a shoe, the order in which they are put on is not only important but essential also.

There are some following examples are given below for your better understanding –

COUNTRY –   INDIA      RUSSIA    JAPAN    AMERICA    ENGLAND

CAPITALNEW DELHI  MOSCOW   TOKYO   PENTAGON   LONDON

Instead of using the above table, we can show this by means of ordered pairs.

(Indian, New Delhi), (Russia, Moscow), (Japan, Tokyo), (America, Pentagon), (England, London). In the ordered pair, (Indian, New Delhi), India is 1st component and New Delhi is the 2nd component.

1st Component – India

2nd Component – New Delhi

An ordered pair is pair of objects whose components occur in a special order. It is written by listing the two components in the specified order, separating them by a comma and enclosing the pair in parentheses.

In the ordered pair (a, b), a is called the first component and b, the second component. It may be noted that (a, b) is not the same as {a, b}. The former denotes an ordered pair, whereas the latter denotes a set. Ordered pairs may have the same first and second components such as (a, a), (b, b).