Question

If A={a,b,c} , then the relation R={(b,c)}on A is

a reflexive only

b symmetric only

c transitive only

d reflexive and transitive only

Answer 1

So option c is coreect

It is not reflexive because in R { (a,a),(b,b) ,(c,c)} is not present

It is not symmetric because in R (b,c) is present but (c,b) is not present

It is transitive because only (b,c) is present if one more element was there (c,a) than it will not be transitive
In a relation to check given element is not transitive atleast two element must be there in this case only one element is there so it is transitive.

{ (b,c)} Transitive

{(b,c), (c,a)} It is not transitive because (b,a) is not present

{(b,c), (c,a),(b,a)} Transitive