If A and B are two equivalence relations defined on set C, then

R_1 and R_2 are two equivalence relation defined on set A(ne phi) . Show that R_1capR_2 is an equivalence relation.

If R and S are two equivalence relations on a set A then R nn S is also an equivalence relation on R.

Let R and S be two equivalence relations on a set A Then : " " A. R uu S is an equvalence relation on A " " B. R nn S is an equirvalence relation on A " " C. R - S is an equivalence relation on A " " D. None of these

Let R and S be two equivalence relations on a set A Then : A. R uu S is an equvalence relation on A B. R nn S is an equirvalenee relation on A C. R - S is an equivalence relation on A D. None of these

The number of equivalence relations that can be defined on set {a, b, c}, is

The number of equivalence relations that can be defined on set {a, b, c}, is

The number of equivalence relations that can be defined on set {a, b, c}, is

The number of equivalence relations that can be defined on set {a, b, c}, is

The maximum number of equivalence relations can be defined on the set A={1,2,3} are

Prove that the intersection of two equivalence relations in a set is an equivalence relation and give an example to show that the union of two equivalence relations in a set is not necessarily an equivalence relation.