Which of the following relations in 0,1,2,3 are equivalence relations? If the given relation is an equivalence relation, then verify the properties of equivalence relation. If the given relation is not an equivalence relation, then show which property or properties fail.
(a.) {(0,0),(1,1),(2,2),(3,3),(1,2)}
(b.) {(0,0),(1,1),(2,2),(1;2),(2,1)}
(c.) {(0,0),(0,2),(1,1),(2;0),(2,2),(2,3),(3,2),(3,3),(1,2),(2,1)}
(d.) {(0,0),(0,1),(0,3),(1,0),(1,1),(2,2),(2,3),(3,3)}