Question

A={1,2,3,4,5,6} if R is the reflexive relation on A then the minimum number of element of R​

Answer 1

Given: A = { 1 , 2 , 3 , 4 , 5 , 6 } , R be a reflexive relation.

To find: Minimum number of elements in R.

Solution:

• Now in relation and functions, a reflexive relation is the one in which every element maps to itself.

• We have given the set A = { 1 , 2 , 3 , 4 , 5 , 6 }

• Then the reflexive relation will be:

                 R = { ( 1,1 ) , ( 2,2 ) , ( 3,3 ) , ( 4,4 ) , ( 5,5 ) , ( 6,6 ) }

• So this is a reflexive relation R in set A.

• The minimum number of elements in R is 6.

Answer:

           So the minimum number of elements in R is 6.