Answer: The correct options are
(A) relation
(B) function.
Step-by-step explanation: We are given to check whether the following set is a relation or a relation and a function or neither :
A = {(1, 2) (2, 2) (3, 2) (4, 2)}
.
Let us consider the following two sets :
U = {1, 2, 3, 4} and V = {2}.
Then, we see that the Cartesian Product of U and V is given by
U × V = {(1, 2) (2, 2) (3, 2) (4, 2)}.
Since a relation is a subset of Cartesian product, so the given set A is a relation.
Also, we know that a relation is a function if every first element is associated with one second element.
Since the relation A satisfies this condition, so the relation A is a function.
Thus, the given set A is both a relation and a function.
Option (A) and (B) are correct.
