Home
Class 11
MATHS
(a) Let R be the relation on Z defined b...

(a) Let R be the relation on Z defined by aRb if and only if `a-b` is an integer. Find: (i) R (ii) domain of R (iii) range of R.
(b) Let R be the relation on Z defined by: `R = {(a,b) : a in Z, b in Z, a^(2) = b^(2)}`
Find (i) R (ii) domain of R (iii) range of R.

Promotional Banner

Topper's Solved these Questions

  • RELATIONS AND FUNCTIONS

    MODERN PUBLICATION|Exercise Exercise 2(c )|23 Videos
  • RELATIONS AND FUNCTIONS

    MODERN PUBLICATION|Exercise Exercise 2 (d)|3 Videos
  • RELATIONS AND FUNCTIONS

    MODERN PUBLICATION|Exercise Exercise-2(a)|25 Videos
  • PROBABILITY

    MODERN PUBLICATION|Exercise CHAPTER TEST|12 Videos
  • SEQUENCES AND SERIES

    MODERN PUBLICATION|Exercise CHAPTER TEST|12 Videos

Similar Questions

Explore conceptually related problems

Let R be a relation on Z defined by : R = {(a,b) : a in Z , b in Z, a^(2) = b^(2)} . Then range of R = _____.

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

Let R be a relation defined on Z such that R={(a,b),a in Z,b in Z,a^(2)=b^(2)} find the following:

Let R be the relation on the set N of natural numbers defined by R={(a ,b): a+3b=12 ,a in N ,b in N}dot Find : (i) R (ii) Dom a inofR (iii) R a ngeofR

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

Let R be a relation defined as aRb if 1+ab>0 .Then the relation R is (a,b in R)

Let A={2,3,4,5,6} and R be the relation on A defined by {(a,b):ab varepsilon A and a divides b}. Find domain and range of R.