Which of the following graphs of relations defines a transitive relation in A = {1, 2, 3, 4} ? `R_1 = {(1, 2), (3, 4), (2, 3), (2, 4)}`, `R_2 = (1, 2), (3, 4), (2, 4)}`.

Let X = {1, 2, 3, 4} and Y = {1, 3, 5, 7,9} . Which of the following is relations from X to Y (i) R_(1) = {(x, y):y=2+x,x inX, yinY} (ii) R_(2) = {(1, 1), (2, 1), (3, 3), (4, 3), (5, 5)} (iii) R_(3) = {(1, 1), (1, 3), (3, 5), (3, 7), (5, 7)} (iv) R_(4) = {(1, 3), (2, 5), (2, 4), (7, 9)}

Let R be the relation in the set {1, 2, 3, 4} given by R = {(1, 2), (2, 2), (1, 1), (4,4), (1, 3), (3, 3), (3, 2)}. Choose the correct answer.

Which of the following relations are functions ? Give reasons. If it is a function, determine its domain and range. R = {(2, 2), (2, 4), (3, 3), (4, 4), (5, 8)}.

Let A={p , q , r , s}\ a n d\ B={1,2,3}dot Which of the following relations from A to B is not function? (i) R_(1) = {(p, 1), (q, 2), (r, 1), (s, 2)} (ii) R_(2) = {(p, 1), (q, 2), (r, 1), (s, 1)} (iii) R_(3) = {(p, 1), (q, 2), (r, 2), (r, 2)} (iv) R_(4) = {(p, 2), (q, 3), (r, 2), (s, 2)}

Let A = {1, 2, 3}, B = {2, 4} and R = {(1, 2), (2, 2), (2, 4), (3, 4)}. Is a relation from A to B ?