Question

Let R be a relation in a set A. If $(a,a)\in R,$ for all a $\in$ A.then R is called a __

• A. Symmetric relation
• B. Antisymmetric relation
• C. Reflexive relation
• D. Antireflexive relation

Answer 1

The correct option is C Reflexive relation

Let R be a relation in a set A. If (a, a)∈R, for all a ∈ A. Then R is called a reflexive relation.

A reflexive relation is the relation “is equal to” on the set of real numbers, since every real number is equal to itself. A reflexive relation is said to have the reflexive property.

If x is equal to x, or x == x then the relationship is reflexive. A relation called R on set A is reflexive if for every ordered pair, (x, x) is an element of the relation and for every x is an element of the set.