Home
Class 11
MATHS
A =(1, 2, 3, 5) and B= {4, 6, 9). Define...

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.

Text Solution

Verified by Experts

The correct Answer is:
R={(1,4),(1,6),(2,9),(3,4),(3,6),(5,4),(5,6)}
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

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.

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 = {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.

Let X = {1, 2, 3, 4,5} and Y = {1, 3, 5, 7,9} . Which of the following is relations from X to Y

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 X = {1, 2, 3, 4, 5, 6, 7, 8, 9). Let R_1 be a relation in X given by R_1 = {(x, y) : x - y is divisible by 3} and R, be another relation on X given by R_2 = {(x, y) : {x, y}sub {1, 4, 7}} or {x,y} sub{2,5,8} or {x,y} sub {3,6,9} . Show that R_1 = R_2 .

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

Let A be the set of all students of a boys school. Show that the relation R in A given by R = {(a,b):a is sister of b} is the empty relation and R' ={(a,b): the difference between heights of a and b is less than 3 meters } is the universal relation.

Define a relation R on the set N of natural numbers by R= {(x, y): y= x+5, x is a natural number less than 4, x, y in N). Depict this relationship using roster form. Write down the domain and the range.

Write the following relation in roster from R= {(x,y) : 2x + 3y= 12, x in A, y in A} where A= {0, 1, 2,3……10}