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 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.

Which of the relations R on the set of the real numbers is an equivalence relation? (a).x R y if |x|=|y|

Which of the relations R on the set of the real numbers is an equivalence relation? (b) x R y if x-yge0

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

In the set of all natural numbers,let a relation defined by {(a,b):a,binN,a-b is divisible by 5} .Prove that R is an equivalence relation.

Let f: X rarr Y , be a function. Define a relation R in X given by: R={(a, b): f(a)=f(b)} Examine if R is an equivalence relation.