Let `R={(a ,\ a),\ (b ,\ b),\ (c ,\ c),\ (a ,\ b)}` be a relation on set `A={a ,\ b ,\ c}` . Then, `R` is (a) identity relation (b) reflexive (c) symmetric (d) equivalence

Write the identity relation on set A={a ,\ b ,\ c} .

R_1={(a ,\ a),\ (a ,\ b),\ (a ,\ c),\ (b ,\ b),\ (b ,\ c),\ (c ,\ a),\ (c ,\ b),\ (c ,\ c)} is defined on set A={a ,\ b ,\ c} . Find whether or not it is (i) reflexive (ii) symmetric (iii) transitive.

Let R={(1, 3), (4, 2), (2, 4), (2, 3), (3, 1)} be a relation the set A= {1, 2, 3, 4} . The relation R is (a). a function (b). reflexive (c). not symmetric (d). transitive

Let a = {a, b, c} and R = {(a, a), (b, b), (c, c), (b, c), (a, b)} be a relation on A, then the

R={(b , c)} is defined on set A={a ,\ b ,\ c} . Find whether or not it is (i) reflexive (ii) symmetric (iii) transitive.

Let R = {(3, 3), (6, 6), (9, 9), (6, 12), (3, 9), (3, 12),(12,12), (3, 6)} is a relation on set A = {3, 6, 9, 12} then R is a) an equivalence relation b) reflexive and symmetric only c) reflexive and transitive only d) reflexive only

Let R be a relation from a set A to a set B, then

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

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 R be the relation on the set A={1,\ 2,\ 3,\ 4} given by R={(1,\ 2),\ (2,\ 2),\ (1,\ 1),\ (4,\ 4),\ (1,\ 3),\ (3,\ 3),\ (3,\ 2)} . Then, R is (a) reflexive and symmetric but not transitive (b) R is reflexive and transitive but not symmetric (c) R is symmetric and transitive but not reflexive (d) R is an equivalence relation