Home
Class 12
MATHS
Let the relation R in the set A = {x in ...

Let 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}`. Then [1], the equivalence class containing 1, is:

A

{1, 5, 9}

B

{0, 1, 2, 5}

C

`phi`

D

A

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • SAMPLE PAPER 2022

    CBSE MODEL PAPER|Exercise SECTION – B |20 Videos

  • SAMPLE PAPER 2022

    CBSE MODEL PAPER|Exercise SECTION – C |10 Videos

  • SAMPLE QUESTION PAPER ( MATHEMATICS )

    CBSE MODEL PAPER|Exercise QUESTION|60 Videos

  • SAMPLE PAPER 2022 TERM II

    CBSE MODEL PAPER|Exercise SECTION C|5 Videos

Similar Questions

Explore conceptually related problems

Let the relation R in the set A = {x in z: 0 le x le 12} given by R= {(a, b) :la - bl is a multiple of 4}. Then [1], the equivalence class containing 1, is:

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

Show that each of the relation R in the set A={x in Z:0<=x<=12} given by (i) R={(a,b):|a-b| is a multiple of 4} (ii) quad R={(a,b):a=b} is an equivalence relation.Find the set of all elements related to 1 in each case.

Show that the relation R on the set A={x in Z:0<=x<=12}, 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 i.e.equivalence class [1]

Let R be the relation in the set N given by R = {a,b):a is a multiple of b} .Then :

Let R be the relation on set A={x:x in Z, 0 le x le 10} given by R={(a,b):(a-b) "is divisible by " 4} . Show that R is an equivalence relation. Also, write all elements related to 4.

If the relation R in a set of integers defined as R = {(a, b): (a + b) is divisible by 7}, is an equivalence relation, then the equivalence class containing 0 is:

Show that the relation R in the set Z of integers, given by R = {(a, b): 3 divides a − b} is an equivalence relation. Hence find the equivalence classes of 0, 1 and 2.

Show that the relation R in the set A = {1, 2, 3, 4, 5,6,7} given by R = {(a , b) : |a - b| " is even" } , is an equivalence relation.