Let `"T"` be the set of all triangles in a plane with `"R"` as relation in `"T"` given by `"R"={("T"_1," T"_2): T_1~="T"_2}` . Show that `"R"` is an equivalence relation.

Let T be the set of all triangles in a plane with R a relation in T given by {(T_1,T_2):T_1~=T_2} show that R is an equivalence relation.

Let L be the set of all line in XY place and R be the relation in L defined as R = {(L_1,L_2):L_1 is parallel to L_2 }Show that R is an equivalence relation. Find the set of all line related to the line y=2x+4

Show that the relation R in the set A of all the book in a library of a college, given by R = {(x,y): x and y have the same number of pages} is an equivalence relation.

If R_1 and R_2 are equivalence relations in a set A, show that R_1 nn R_2 is also an equivalence relation.

Let R be a Relation in the set A={1,2,3,4,5,6} define as R={(x,y):y=2x-1} Is R an equivalance relation? Justify.

Show that the relation R. defined in the set A of all triangle as R={(T_1,T_2):T_1 is similar to T_2 ,is an equivalence relation. Consider three right angled triangles T_1 with sides 3,4,5, T_2 with sides 5,12,13 and T_3 with sides 6,8,10. Which triangle among T_1,T_2 and T_3 are related ?

Show that the relation R on the set of natural numbers defined as R:{(x,y):y-x is a multiple of 2} is an equivalance relation

The relation R defined in the set A={-1,0,1} as R={(a,b):a=b^2} Is R an equivalance relation

Show that the relation R defined in the set A of all polygons as R={(P_1,P_2): P_1 and P_2 have the same number of sides },is an equivalence relation.What is the set of all elements in A related to the right angled triangle T with sides 3,4 and 5?

Show that each of the relation R in the set A={x in Z: 0 le xle12} ,given by R = {(a,b) : |a-b| is a multiple of 4} is an equivalence relation. Find the set of all elements related to 1 in each case.