Home
Class 11
MATHS
Let A={1,2,3,4}.Let R be the equivalenc...

Let A={1,2,3,4}.Let R be the equivalence relation on A times A defined by (a,b)R(c,d) iff a +d=b+c. Find the equivalence class '[(1,3)]'

Answer

Step by step text solution for Let A={1,2,3,4}.Let R be the equivalence relation on A times A defined by (a,b)R(c,d) iff a +d=b+c. Find the equivalence class '[(1,3)]' by MATHS experts to help you in doubts & scoring excellent marks in Class 11 exams.

Doubtnut Promotions Banner Mobile Dark
|

Similar Questions

Explore conceptually related problems

Let A={1,2,3,4} . Let R be the equivalence relation on AxxA defined by (a,b)R(c,d) iff a+d=b+c . Find {(1,3)} .

Let A={1,2,3,4}. Let R be the equivalence relation on A xx A defined by (a,b)R(c,d)hArr a+d=b+c. Find an equivalence class for [2quad 3]

Knowledge Check

  • Let A = {1, 2, 3, 4, 5, …., 17, 18}. Let ' ~= ' be the equivalence relation on A xx A , cartesian product of A with itself, defined by (a,b) ~= (c, d) iff ad = bc. Then, the number of ordered pairs of the equivalence class of (3, 2) is

    A
    4
    B
    5
    C
    6
    D
    7

  • Let R be a relation over the set NxxN and it is defined by (a,b)R(c,d)impliesa+d=b+c . Then R is

    A
    Symmetric only
    B
    Transitive only
    C
    Reflexive only
    D
    Equivalence only

    • Similar Questions

    Explore conceptually related problems

    Let R be the equivalence relation in the set Z of integers given by R={(a,b):2 divides a-b} .Write the equivalence class of [0]

    Let R be the equivalence relation in the set A={0,1,2,3,4,5} given by R={(a,b):2 divides (a-b)}. Write the equivalence class [0]

    Let S={1,2,3,4,5} and A=S xx.A relation R on A is defined as follows '(a,b)R(c,d) iff ad=cb. Then R is

    Let A = (1,2, 3, 4, 5, ..., 30) and ~= be an equivalence relation on AxxA , defined by (a,b) ~= (c,d) if and only if ad=bc. Then the number of ordered pairs which satisfy this equivalence relation with ordered pair (4,3) is equal to :

    Let A={1,2,3,......,} and the relation R defined as (a, b) R (c,d) if a+d=b+c be an equivalence relation. Then, the equivalence class containing [(2,5)] is:

    Let A={1,2,3,......,9} and R be the relation in AxA defined by (a,b)R(c,d) if a+d=b+c for (a,b),(c,d) in AxA. Prove that R is an equivalence relation.Also obtain the equivalence class [(2,5)].

    Home
    Profile