Home
Class 11
MATHS
In the set Z of integers, define m Rn if...

In the set Z of integers, define m Rn if m-n is a multiple of 12. Prove that R is an equivalence relation.

Promotional Banner

Topper's Solved these Questions

  • GOV. MODEL QUESTION PAPER - 1

    SURA PUBLICATION|Exercise Section - III|11 Videos
  • GOV. MODEL QUESTION PAPER - 1

    SURA PUBLICATION|Exercise Section - IV|11 Videos
  • GOV. MODEL QUESTION PAPER - 1

    SURA PUBLICATION|Exercise Section - IV|11 Videos
  • DIFFERENTIAL CALCUS - DIFFERENTIABILITY AND METHODS OF DIFFERENTIATION

    SURA PUBLICATION|Exercise ADDITIONAL PROBLEMS SECTION-D (5 MARKS)|4 Videos
  • GOVT. MODEL QUESTION PAPER - 2 (2018 - 19)

    SURA PUBLICATION|Exercise SECTION - IV|13 Videos

Similar Questions

Explore conceptually related problems

In the set Z of integers define mRn if m-n is a multiple of 12 . Prove the R is an equivalence relation.

In the set Z of integers, define mRn if m-n is divisible by 7. Prove that R is an equivalence relation.

In the set z of integers, define mRn if m-n is div7 , prove that R is an equivalence relation.

In the set of integers Z, define mRn if m-n is a multiple of 5. Is R equivalence relation"?

Let P be the set of all triangles in a plane and R be the relation defined on P as a Rb if a is similar to b. Prove that R is an equivalence relation .

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

Let Z be the set of all integers and R be the relation on Z defined as R={(a , b); a ,\ b\ in Z , and (a-b) is divisible by 5.} . Prove that R is an equivalence relation.