Consider the following two binary relations on the set
`A = {a,b,c}, R_(1) = {(c,a),(b,b), (a,c), (c,c), (b,c),(a,a)}`
`R_(2) ={(a,a),(a,b),(c,c),(b,a),(b,b),(a,c)}` , Then:

Let R be a relation on A = {a, b, c} such that R = {(a, a), (b, b), (c, c)}, then R is

Find which of the following are the function on set A={a,b,c} ? Give reason. (i) R_(1)={(a,b),(b,a),(a,c)} (ii) R_(2)={(b,b),(c,c),(a,b)}

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

Three relations R_(1),R_(2) and R_(3) are defined on set A={a,b,c} as follow: (a,a),(a,b),(a,c),(b,b),(b,c),(c,a),(c,b),(c,c)}R_(2)={(a,b),(b,a),(a,c),(c,a)}R_(3)={(a,b),(b,c),(c,a)} Find whether each of R_(1),R_(2),R_(3) is reflexive,symmetric and transitive.

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

If A = {3, 5, 7, 9} and B = {a, b, c}, then which of the following are relations from A to B ? Give reasons for your answer. (i) R_(1) = {(3, a), (5, b), (5, c)} (ii) R_(2) = {(3, c), (9, b), (5, a)} (iii) R_(3) = {(3, c), (b, c), (7, b), (9, a)} (iv) R_(4) = {(3, b), (7, c), (c, a), (b, 9)}