If `A={1, 2, 3}` , then a relation `R={(2,3)}` on `A` is (a) symmetric and transitive only (b) symmetric only (c) transitive only (d) none of these

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

If A={a ,\ b ,\ c ,\ d}, then a relation R={(a ,\ b),\ (b ,\ a),\ (a ,\ a)} on A is (a)symmetric and transitive only (b)reflexive and transitive only (c) symmetric only (d) transitive only

Let A={1,\ 2,\ 3} and R={(1,\ 2),\ (2,\ 3),\ (1,\ 3)} be a relation on A . Then, R is (a)neither reflexive nor transitive (b)neither symmetric nor transitive (c) transitive (d) none of these

Every relation which is symmetric and transitive is also reflexive.

A relation on set ={1,2,3,4,5} is defined as R="{"|"a-b"|" is prime number } then R is (a) Reflexive only (b) Symmetric only (c) Transitive only (d) Symmetric and transitive only (e) equivalence

Give an example of a relation which is symmetric and transitive but not reflexive.

Let R be a relation defined by R={(a, b): a >= b, a, b in RR} . The relation R is (a) reflexive, symmetric and transitive (b) reflexive, transitive but not symmetric (c) symmetric, transitive but not reflexive (d) neither transitive nor reflexive but symmetric

S is a relation over the set R of all real numbers and it is given by (a ,\ b) in ShArra bgeq0 . Then, S is symmetric and transitive only reflexive and symmetric only (c) antisymmetric relation (d) an equivalence relation

In a set of real numbers a relation R is defined as xRy such that |x|+|y|lt=1 (A)then relation R is reflexive and symmetric but not transitive (B)symmetric but not transitive and reflexive (C)transitive but not symmetric and reflexive (D) none of reflexive, symmetric and transitive

The relation R in the set {1,2,3} given by R = {(1,2), (2,1),(1,1)} is a) symmetric and transitive, but not reflexive b) reflexive and symmetric, but not transitive c) symmetric, but neither reflexive nor transitive d) an equivalence relation