Home
Class 12
MATHS
Let. X = {1, 2, 3, 4, 5, 6, 7, 8,9}. Let...

Let. X = {1, 2, 3, 4, 5, 6, 7, 8,9}. Let `R_(1)`, be a relation on X given by `R_(1)`={(x, y): x - y is divisible by 3)} and `R_(2)`, be another relation on X given by `R_(2)`={(x, y): {x,y) `sub `(1,4,7) or (x, y) `sub` (2,5,8) or (x, y) `sub` (3, 6, 9)}. Show that `R_(1)=R_(2)`.

Answer

Step by step text solution for Let. X = {1, 2, 3, 4, 5, 6, 7, 8,9}. Let R_(1), be a relation on X given by R_(1)={(x, y): x - y is divisible by 3)} and R_(2), be another relation on X given by R_(2)={(x, y): {x,y) sub (1,4,7) or (x, y) sub (2,5,8) or (x, y) sub (3, 6, 9)}. Show that R_(1)=R_(2). by MATHS experts to help you in doubts & scoring excellent marks in Class 12 exams.

Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • RELATIONS AND FUNCTIONS

    ARIHANT PUBLICATION|Exercise PART II : Question for Practice Part II ( Very Short Answer Type Questions) |6 Videos

  • RELATIONS AND FUNCTIONS

    ARIHANT PUBLICATION|Exercise PART II : Question for Practice Part II ( Short Answer Type Questions) |8 Videos

  • RELATIONS AND FUNCTIONS

    ARIHANT PUBLICATION|Exercise PART I: Question for Practice Part I Relations (Short Answer Type Questions) |8 Videos

  • QUESTION PAPER 2020

    ARIHANT PUBLICATION|Exercise GROUP C (ANSWER ANY ONE QUESTIONS)|13 Videos

  • SAMPLE PAPER 1

    ARIHANT PUBLICATION|Exercise LONG ANSWER TYPE QUESTIONS|13 Videos

Similar Questions

Explore conceptually related problems

Let A = {1,2,3,4,5,6} and Let R be a relation on A defined by R {(a,b)| a divides b} Find R^(-1) .

Let A = {1,2,3,4,5,6} and Let R be a relation on A defined by R {(a,b)| a divides b} Find rng R^(-1) .

Let A = {1,2,3,4,5,6} and Let R be a relation on A defined by R {(a,b)| a divides b} Find Dom R^(-1) .

Let A={1, 2, 3, 5}, B={4, 6, 9}, A relation R form A to B is defined by R={(x,y) : x inA,yin B and x-y is odd}.write R in roster form.

If f:X to Y is a function. Define a relation R on X given by R={(a, b): f(a)=f(b)}. Show that R is an equivalence relation on X.

If R={(x, y): x +2y =8} is a relation on N, then write the range of R.

Let R be a relation in the set of natural numbers N defined by xRy if and only if x+y=18 . Is R an equivalence relation?

Check whether the relation R defined on the set A = {1,2,3,4,5,6} as R = {(x,y):y is divisible by x} is reflexive, symmetric and transitive.

Write the relations in tabular form and determine their type. R= {(x, y): y lt= x lt= 4} on A = {1,2,3,4,5)

If R be a relation from {11, 12, 13} to {8, 10, 12} defined by y = x - 3 . What is R^-1 ?

Home
Profile