Question

A relation in set A is called a _____ relation, if each element of A is related to itself? Is it identity or reflexive relation?

Answer 1

Answer:

empty relation..

Explanation:

A relation R in a set A is called empty relation, if no element of A is related to any element of A, i.e., R = φ ⊂ A × A. (ii) A relation R in a set A is called universal relation, if each element of A is related to every element of A, i.e., R = A × A.

Answer 2

Answer:

Identity relation

Explanation:

Identity relation can be simply defined as the relation in which each and every element present in it is directly related to itself. This depicts that identity relation on set A is defined as iA = {(M, N) ∈ A × A|M = N}.

For example, If A = {x, y, z},

then, Identity relation, (iA)= {(x,x),(y, y),(z, z)}

Thus, the correct answer is Identity relation.