Home
Class 11
MATHS
Let A={1,2,3....14}. Define a relation R...

Let A={1,2,3....14}. Define a relation R from A to A by `R={(x,y) : 3x-y=0," where "x, y in A}`. Write down its domain, condomain and range.

Text Solution

Verified by Experts

The correct Answer is:
R={(1,3),(2,6),(3,9),(4,12)}
Domain of R ={1,2,3,4}
Range of R={3,6,9,12}
Co domain of R={1,2,....14}
Doubtnut Promotions Banner Mobile Dark
|

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

Let A={1,2,3,4,5,6}. Define a relation R form A to A by R= {(x,y) : y=x+1} (i) Depict this relation using an arrow diagram. (ii) Write down the domain, codmain and range of R.

A =(1, 2, 3, 5) and B= {4, 6, 9). Define a relation R from A to B by R= {(x, y): the difference between x and y is odd, x in A, y in B} . Write R in roster form.

A = {(1,2,3,......10} The relation R defined in the set A as R = {(x,y) : y = 2x} . Show that R is not an equivalence relation.

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

A = {2, 3, 4, 5} , B= {3, 6,7}. A relation from A to B is R defined as, x R y hArr x and y are prime numbers. Find domain and range of R.

R= {(x, y): x in N, y in N and x + y = 10} . Write domain and 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.

The ordered pair (5,2) belongs to the relation R= {(x,y): y= x-5, x, y in Z}

The relation R difined the set Z as R = {(x,y) : x - yin Z} show that R is an equivalence relation.

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