Provide Solution For R.D. Sharma Maths Class 12 Chapter relations Exercise 1.1 Question 14 sub question 3 Maths Textbook Solution.
A relation R on set A is
If for every
If is true then is also true for every
We have to give the example of a relation which is symmetric and transitive but not reflexive.
The relation having properties of being symmetric and transitive but not reflexive.
Define a relation on as
Relation is not reflexive as
Relation is symmetric as
It is seen that
The relation is transitive.
Hence relation is symmetric and transitive but not reflexive.