Question

Let P={1, 2, 3} and a relation on set P is given by the set R={(1,2),(1,3),(2,1),(1,1),(2,2),(3,3),(2,3)}. Then R is:
A. reflexive, transitive but not symmetric
B. Symmetric, transitive but not reflexive
C. Symmetric, reflexive but not transitive
D. None of the above

Answer 1

Correct Answer - A
Given relation
`R={(1,2),(1,3),(2,1),(1,1),(2,2),(3,3),(2,3)}` is reflexive and transitive only but not symmetric
`because (3,1) and (3,2) cancelinR`.