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.

Let R be a Relation in the set A={1,2,3,4,5,6} define as R={(x,y):y=2x-1} Write R in roster form and find it's domain and range

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 in the set A = (1,2,3,4,5} given by R = {(a,b) : |a - b| is even }, is an equivalence relation. Show that all the elements of {1,3,5} are related to each other and all the elements of {2,4} are related to each other. But no element of {1, 3, 5} is related to any element of {2,4}.

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

Show that each of the relation R in the set A={x in Z: 0lt= xlt=12} ,given by R = {(a,b) : a=b} is an equivalence relation. Find the set of all elements related to 1 in each case.

Check whether the relation R defined in the set {1,2,3,4,5,6} as R={(a,b) : b=a+1} is reflexive, symmetric or transitive.

Let R be relation defined on A={1,2,3} by R={(1,3),(3,1),(2,2)} is

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 ?