Home
Class 12
MATHS
Definition of Symmetric relation...

Definition of Symmetric relation

Text Solution

Verified by Experts

What is the definition of Symmetric relation?

Here we will explain the symmetric relation on set.

Let A be a set where the relation R is defined.  Here, R is said to be a symmetric relation, if (a, b) ∈ R ⇒ (b, a) ∈ R. So, aRb ⇒ bRa for all (a, b) ∈ R.

If we consider the set A of natural numbers and if there is a relation A that is defined by “x + y = 5”, then this relation is symmetric in A, for

...
Promotional Banner

Similar Questions

Explore conceptually related problems

Definition of Reflexive relation

Define a symmetric relation.

Definition of Transitive relation

Let M be the set of men and R is a relation is son of defined on M.Then,R is ( a) an equivalence relation (b) a symmetric relation (c) a transitive relation (d) None of these

If A={1,2,3,4} then find number of symmetric relation on A which is not reflexive is

Let M be the set of men and R is a relation 'is son of defined on M.Then,R is (a) an equivalence relation (b) a symmetric relation only (c) a transitive relation only (d) None of the above

If a relation R in N defined as R =((a ,b):a (A) Only transitive relation. (B) Only symmetric relation. (C) Only reflexive relation. (D) Transitive and symmetric relation.

If A={1,2,3}, the number of symmetric relations in A is

What is the adequate definition of language relation preestimation: