Question

Which of the following statement(s) is/are correct?

• A. Set of first element of all ordered pairs of a relation is called domain.
• B. Set of first element of all ordered pairs of a relation is called range.
• C. Set of second element of all ordered pairs of a relation is called range.
• D. Set of second element of all ordered pairs of a relation is called domain.

Answer 1

Answer: (A), (C)

Set of second element of all ordered pairs of a relation is called range.

A relation is a collection of ordered pairs.
Example: A relation R is stated as:
$R=\left\{\right(1,1),(2,4),(3,9),(4,16\left)\right\}$

Here, set of first elements of all ordered pairs of the relation is domain.
Domain of R: $\{1,2,3,4\}$

And, set of second elements of all ordered pairs of the relation is range.
Range of R: $\{1,4,9,16\}$