Home
Class 12
MATHS
Prove that the relation R in the set of ...

 Prove that the relation R in the set of integers Z defined by R = {(x,y) : x - y. is an integer) is an equivalence relation.

Promotional Banner

Topper's Solved these Questions

  • SUPPLEMENTARY EXAM QUESTION PAPER JULY 2015

    SUBHASH PUBLICATION|Exercise PART D|9 Videos

  • SUPPLEMENTARY EXAM QUESTION PAPER JULY 2015

    SUBHASH PUBLICATION|Exercise PART E|4 Videos

  • SUPPLEMENTARY EXAM QUESTION PAPER JULY 2015

    SUBHASH PUBLICATION|Exercise PART B|13 Videos

  • SUPPLEMENTARY EXAM QUESTION PAPER 2017

    SUBHASH PUBLICATION|Exercise PART E|2 Videos

  • THREE DIMENSIONAL GEOMETRY

    SUBHASH PUBLICATION|Exercise TRY YOURSELF|11 Videos

Similar Questions

Explore conceptually related problems

Show that the relation R in the set of all integers, Z defined by R = {(a, b) : 2 "divides" a - b} is an equivalence relation.

Show thaT the relation R in the set of all integers Z defined by R{(a,b) : 2 divides a-b} is an equivalence relation.

Relation R on Z defined as R = {(x ,y): x - y "is an integer"} . Show that R is an equivalence relation.

Solve that the relation R in the set z of intergers given by R={(x,y):2 divides (x-y)} is an equivalence relation.

Show that the relation R in the set of all natural number, N defined by is an R = {(a , b) : |a - b| "is even"} in an equivalence relation.

Show that the relation R in the set A={x in z, 0 le x le 12} given by R={(a,b):|a-b| is a multiple of 4} is an equivalence relation.

Show that the relation R in the set of integers given by R= {(a,b) : 5 divides (a - b)} is symmetric and transitive.

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.