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 in Z, a-b "is an integer").` Find the domain and range of R.

Text Solution

Verified by Experts

The correct Answer is:
Domain of R=Z
Range of R=Z
Promotional Banner

Topper's Solved these Questions

  • RELATIONS AND FUNCTIONS

    NCERT GUJARATI|Exercise Exercise 2.3|5 Videos
  • RELATIONS AND FUNCTIONS

    NCERT GUJARATI|Exercise Miscellaneous Exercise on Chapter 2|12 Videos
  • RELATIONS AND FUNCTIONS

    NCERT GUJARATI|Exercise Exercise 2.1|10 Videos
  • PROBABILITY

    NCERT GUJARATI|Exercise MISCELLANEOUS EXERCISEON CHAPTER 25|1 Videos
  • SEQUENCES AND SERIES

    NCERT GUJARATI|Exercise Miscellaneous Exercise On Chapter 9|31 Videos

Similar Questions

Explore conceptually related problems

R = {(a, b): b= |a-1|, a in Z and |a| le 3} . Find the domain and Range of R

R= {(x,y): x, y in N, x + y= 8} . Find the domain and range of R.

If R= {(x,y): x, y in W, x^(2)+ y^(2)= 25} , then find the domain and range of R.

Let A= (1, 2, 3, 4, 6). Let R be the relation on A defined by {(a,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 be a relation defined by R = {(a, b) : a ge b }, where a and b are real numbers, then R is

Let R be a relation from Q to Q defined by R={(a,b): a,b in Q and a-b in Z} . Show that (i) (a,a) in R" for all " a in Q (ii) (a,b) in R implies that (b,a) inR (iii) (a,b) in R and (b,c) in R implies that (a,c) in R

Let R be a relation from N to N defined by R={(a,b): a, b in N and a=b^(2)). Are the following true? (i) (a,a) in R," for all " a in N (ii) (a,b) in R," implies "(b,a) in R (iii) (a,b) in R, (b,c) in R" implies "(a,c) in R . Justify your answer in each case.

R = {(a, b)": a in N, b in N, a+ 3b = 12} . Express R as roster method. Find the domain and range of R.

R = {(a, b): a in N, a lt 5, b= 4} write domain and range of R.

Let R be the relation on the set N given by R= { (a, b): a= b-2, b gt 6} . Choose the correct answer.