Relations

IMPORTANT

Relations: Overview

This topic covers concepts, such as, Types of Relations etc.

Important Questions on Relations

EASY
IMPORTANT

Let fx=1,2,3,4,5,6,7 the relation R=x,yA×A, x+y=7

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IMPORTANT

In the set  of natural numbers, the relation R=x,y:x>y+5 is

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IMPORTANT

As per question No.16 express the following sets in set notation: -
(i) {xx is a family with two or more sets or income of 11000/- to 15999/-}
(ii) {xx is a family with no set}

EASY
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{(x,y)/x+y=2x where x and y are positive integers}, is

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{(x,y)/xx,yy,y=x} is

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"is the reciprocal of"........ over the set of non-zero real numbers is

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"is perpendicular to" over the set of straight lines in a given plane is

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"has the same father as" over the set of children

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"Is equal to" over the set of all rational numbers is

MEDIUM
IMPORTANT

The relation R defined in the set 1,2,3,4,5,6 as R=a,b:b=a+1 is

HARD
IMPORTANT

Let W represents the set of all whole numbers. and the relations on the W as R1=x, yW×W: x+y=2 and R2=x, yW×W: x+y=4, then which one of the following statements is correct?

HARD
IMPORTANT

Which one of the following statements is wrong regarding 'Transitive relation'?

HARD
IMPORTANT

Which one of the following statements is correct regarding the below relation?

For the set A=x, y, z and the relations obtained from the set A are:

R1=x, x, y, z, z, y

R2=x, x, y, y, z, y

R3=x, x, y, y, z, z, x, z

 

HARD
IMPORTANT

Which one of the following option is correct for the 'symmetric relation'?

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IMPORTANT

Which one of the following statements is/are correct for the 'Reflexive relation'?

EASY
IMPORTANT

Which  of the following depict a transitive relation but not reflexive 

Set S=3,8,2.

HARD
IMPORTANT

What can be the domain as range from the following diagram of relation?

MEDIUM
IMPORTANT

Let A=5,3,2, B=20,6,2,0 Then relation diagram for the R=x,y:xA,yB & y=x1-x

Question Image

EASY
IMPORTANT

Let R be a relation from to Devine by R=a,b:a,bp & a=32b3 .

EASY
IMPORTANT

In the blow examples  which one is symmetric but not reflexive and transitive for set A=2,3,5