A) a function
B) transitive
C) not symmetric
D) reflexive
Correct Answer: C
Solution :
A correspondence which is one-one or many-one is called a function, a one to many or many to many correspondence cannot be a function. Let R = {(1, 3), (4,2), (2,4), (2,3), (3, 1)} be a relation on the set A = {1, 2, 3, 4}, then Since,andso R is not a function. Since,andbut. So, R is not transitive. Since,but,so R is not symmetric. Since,,so R is not reflexive. Hence, the option (c) is correct. NOTE A relation which is not symmetric, is known as anti-symmetric relation.You need to login to perform this action.
You will be redirected in
3 sec