## What is reflexive relation with example?

In mathematics, a homogeneous binary relation R on a set X is reflexive if it relates every element of X to itself. An example of a reflexive relation is the relation “is equal to” on the set of real numbers, since every real number is equal to itself.

**What is symmetric relation with example?**

A symmetric relation is a type of binary relation. An example is the relation “is equal to”, because if a = b is true then b = a is also true.

### What is identity relation in maths?

An identity relation on a set ‘A’ is the set of ordered pairs (a,a), where ‘a’ belongs to set ‘A’. For example, suppose A={1,2,3}, then the set of ordered pairs {(1,1), (2,2), (3,3)} is the identity relation on set ‘A’.

**What is reflexive relation class 12?**

A relation is a reflexive relation If every element of set A maps to itself. I.e for every a ∈ A,(a, a) ∈ R. OR. A relation R from a non-empty set A to a non-empty set B is a subset of the cartesian product A×B. It maps elements of one set to another set.

#### How many reflexive relations are possible in a set A whose N A )= 4?

The total number of reflexive relations set with 4 elements = 24. Was this answer helpful?

**Which of the following relation is the reflexive relation over the set 1234?**

Which of the following relations is the reflexive relation over the set {1, 2, 3, 4}? Explanation: {(1,1), (1,2), (2,2), (3,3), (4,3), (4,4)} is a reflexive relation because it contains set = {(1,1), (2,2), (3,3), (4,4)}.

## What is symmetric relation class 12?

Symmetric Relations A relation R in set A is called symmetric, if (a1, a2) ∈ R implies (a2, a1)∈ R, for all a1, a2 ∈ A.

**How do you calculate identity relations?**

In other words, a relation IA on A is called the identity-relation if every element of A is related itself only. For example : If A = {1,2,3}, then the relation IA ={(1,1),(2,2),(3,3)} is the identity-relation on set A. But If we add (1,3) and (3,2) ordered pair in the set then it will not be an identity-relation.

### What is difference between identity relation and reflexive relation?

Identity Relation》Relation which associates every element of a set to itself and not to any other element. Reflexive Relation》Relation which associates every element of a set to itself and may be to any other element of the set.

**What does reflexive mean in geometry?**

Reflexive property of equality In geometry, the reflexive property of congruence states that an angle, line segment, or shape is always congruent to itself.

#### How many onto functions are possible in set A whose N A )= 4?

In your problem, n = 4 and m = 3. Thus, the number of onto functions equals 3!