Home
Class 11
MATHS
Let R be the relation on Z defined by R=...

Let `R` be the relation on `Z` defined by `R={(a , b): a , b` belongs to Z` , a-b` is an integer`}dot` Find the domain and range of `Rdot`

Text Solution

AI Generated Solution

Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • QUADRATIC EQUATIONS

    RD SHARMA ENGLISH|Exercise All Questions|85 Videos
  • SETS

    RD SHARMA ENGLISH|Exercise All Questions|228 Videos

Similar Questions

Explore conceptually related problems

Let R be the relation on Z defined by R={(a , b): a , b in Z , a-b is an integer }dot Find the domain and range of Rdot

Let R be the relation on Z defined by R = {(a , b): a , b in Z , a b is an integer}.Find the domain and range of R.

Let A={1,2,3,4,5,6}dot Let R be a relation on A defined by R={(a , b): a , b in A , b is exactly divisible by a } Write R is roster form Find the domain of R Find the range of Rdot

Let A = {1, 2, 3, 4, 6} . Let R be the relation on A defined by {(a , b): a , b in A , a is exactly divisible by b}.(i) Write R in roster form(ii) Find the domain of R(iii) Find the range of R.

Let A = {1, 2, 3, 4, 6} . Let R be the relation on A defined by {(adot b): a , b in A , b is exactly divisible by a}.(i) Write R in roster form(ii) Find the domain of R(iii) Find the range of R.

Let R_(1) be a relation defined by R_(1)={(a,b)|agtb,a,b in R} . Then R_(1) , is

Let A={2,3,4,5,6,7,8,9} Let R be the relation on A defined by {(x,y):x epsilonA,yepsilonA & x^(2)=y or x=y^(2) }. Find domain and range of R .

Let R be a relation defined by R = {(a, b) : a ge b }, where a and b are real numbers, then R is

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