Home
Class 11
MATHS
The relation R defined on a set A = { 0,...

The relation R defined on a set A = { 0,-1,1,2} by xRy if |`x^(2)+y^(2)| lt=2` , then which one of the following is true?

A

R=(0,0),(0,-1),(0,1),(-1,0),(-1,1),(1,2),(1,-0)}

B

`R^(-1)={(0,0),(0,-1),(0,1),(-1,0),(1,0)}`

C

Domain of R is {0,-1,1}

D

Range of R is {0,-1,1}

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • SAMPLE PAPER -17

    FULL MARKS|Exercise PART-II|10 Videos

  • SAMPLE PAPER -17

    FULL MARKS|Exercise PART -III|10 Videos

  • SAMPLE PAPER - 3

    FULL MARKS|Exercise PART - IV|7 Videos

  • SAMPLE PAPER -19

    FULL MARKS|Exercise SAMPLE PAPER UNSOLVED-19(IV)|6 Videos

Similar Questions

Explore conceptually related problems

The relation R defined on a set A={0,-1,1,2} by xRy" if "|x^2+y^2| le 2 , then which one of the following is true?

If f(x) = {{:(2a-x, "for",-a lt x lt a),(3x-2a ,"for", x ge a):} , then which one of the following is true?

R is a relation on the set A = { 1,2,3,4,6,7,8,9} given by x Ry and y=3x , then R=

The solution set of |3x-2| lt 1 is

Let RR be the set of all real numbers. Consider the following subsets of the plane RRxxRR :S = { (x,y) : y=x+1 and 0 lt x lt 2 } and T = { (x,y) : x-y is an integer }. Then which of the following is true ?

Let N be the set of natural numbers and the relation R be defined on N such that R={(x,y): y=2x,x,y in N }. what is the domain codomain and range of R ? Is this relation a functions ?

A relation R is defined on the set z of integers as follows : (x,y) in RR hArr x^(2) +y^(2) = 25 . Express R and R^(-1) as the set of ordered pairs and hence find their respective domains.

Let L be the set of all lines in a plane and R be the relation in L defined as R = {(L _(1), L _(2)) : L _(1) is perpendicular to L _(2) }. Show that R is symmetric but neither reflexive nor transitive.