Have a query? Ask a Tutor!!

Access to best educators and exclusive paper discussions

Offsite Campus Turito Championship

Can’t find what you’re looking for?

Our tutors are from top schools around the world, and they are waiting for you 24/7, anytime, anywhere.

Homework- One to One Solutions
Understand concepts to solve better
Get your doubts solved instantly

Maths-

General

Easy

Question

The relation ‘is subset of’ on the power set $P left parenthesis A right parenthesis$ of a set $A$ is

Symmetric
Anti-symmetric
Equivalence relation
None of these

The correct answer is: Anti-symmetric

The relation is not symmetric, because $A subset of B$ does not imply that $B subset of A.$ But, it is anti-symmetric because
$A subset of B$ and $B subset of A rightwards double arrow A equals B$

Related Questions to study

If $A comma blank B$ and $C$ are three sets such that $A intersection B equals A intersection C$ and $A union B equals A union C$ , then

If $A comma blank B$ and $C$ are three sets such that $A intersection B equals A intersection C$ and $A union B equals A union C$ , then

The relation $R$ defined in $N$ as $a blank R blank b ⟺ b$ is divisible by $a$ is

The relation $R$ defined in $N$ as $a blank R blank b ⟺ b$ is divisible by $a$ is

If $A equals left curly bracket open parentheses x comma y close parentheses colon x to the power of 2 end exponent plus y to the power of 2 end exponent equals 4 semicolon blank x comma y element of R right curly bracket$ and
$B equals left curly bracket open parentheses x comma y close parentheses colon x to the power of 2 end exponent plus y to the power of 2 end exponent equals 9 semicolon x comma y element of R right curly bracket$ , then

If $A equals left curly bracket open parentheses x comma y close parentheses colon x to the power of 2 end exponent plus y to the power of 2 end exponent equals 4 semicolon blank x comma y element of R right curly bracket$ and
$B equals left curly bracket open parentheses x comma y close parentheses colon x to the power of 2 end exponent plus y to the power of 2 end exponent equals 9 semicolon x comma y element of R right curly bracket$ , then

parallel

Let $A equals open curly brackets open parentheses x comma y close parentheses colon y equals e to the power of x end exponent comma x element of R close curly brackets comma$
$B equals open curly brackets open parentheses x comma y close parentheses colon y equals e to the power of negative x end exponent comma x element of R close curly brackets.$ Then,

Let $A equals open curly brackets open parentheses x comma y close parentheses colon y equals e to the power of x end exponent comma x element of R close curly brackets comma$
$B equals open curly brackets open parentheses x comma y close parentheses colon y equals e to the power of negative x end exponent comma x element of R close curly brackets.$ Then,

Which of the following is an equivalence relation?

Which of the following is an equivalence relation?

The finite sets $A$ and $B$ have $m$ and $n$ elements respectively. if the total number of subsets of $A$ is 112 more than the total number of subsets of $B$ , then the volume of $m$ is

The finite sets $A$ and $B$ have $m$ and $n$ elements respectively. if the total number of subsets of $A$ is 112 more than the total number of subsets of $B$ , then the volume of $m$ is

parallel

If $A equals left curly bracket x comma blank y right curly bracket$ , then the power set of $A$ is

If $A equals left curly bracket x comma blank y right curly bracket$ , then the power set of $A$ is

Out of 800 boys in a school 224 played cricket, 240 played hockey and 336 played basketball. Of the total, 64 played both basketball and hockey; 80 played cricket and basketball and 40 played cricket and hockey; 24 played all the three games. The number of boys who did not play any game is

Out of 800 boys in a school 224 played cricket, 240 played hockey and 336 played basketball. Of the total, 64 played both basketball and hockey; 80 played cricket and basketball and 40 played cricket and hockey; 24 played all the three games. The number of boys who did not play any game is

In a set of ants in a locality, two ants are said to be related iff they walk on a same straight line, then the relation is

In a set of ants in a locality, two ants are said to be related iff they walk on a same straight line, then the relation is

parallel

$open curly brackets x element of R colon fraction numerator 2 x minus 1 over denominator x to the power of 3 end exponent plus 4 x to the power of 2 end exponent plus 3 x end fraction element of R close curly brackets$ equals

$open curly brackets x element of R colon fraction numerator 2 x minus 1 over denominator x to the power of 3 end exponent plus 4 x to the power of 2 end exponent plus 3 x end fraction element of R close curly brackets$ equals

If $A$ and $B$ are two sets such that $n open parentheses A intersection stack B with minus on top close parentheses equals 9 comma n open parentheses stack A with minus on top intersection B close parentheses equals 10$ and $n open parentheses A union B close parentheses equals 24 comma$ then $n open parentheses A cross times B close parentheses equals$

If $A$ and $B$ are two sets such that $n open parentheses A intersection stack B with minus on top close parentheses equals 9 comma n open parentheses stack A with minus on top intersection B close parentheses equals 10$ and $n open parentheses A union B close parentheses equals 24 comma$ then $n open parentheses A cross times B close parentheses equals$

Let $S equals left curly bracket 1 comma blank 2 comma blank 3 comma blank 4 right curly bracket$ . The total number of unordered pairs of disjoint subsets of $S$ is equal to

Let $S equals left curly bracket 1 comma blank 2 comma blank 3 comma blank 4 right curly bracket$ . The total number of unordered pairs of disjoint subsets of $S$ is equal to

parallel

Let $A$ be the non-void set of the children in a family. The relation $´ x$ is a brother of $y ´$ on $A$ is

Let $A$ be the non-void set of the children in a family. The relation $´ x$ is a brother of $y ´$ on $A$ is

In a class of 45 students, 22 can speak Hindi and 12 can speak English only. The number of students, who can speak both Hindi and English, is

In a class of 45 students, 22 can speak Hindi and 12 can speak English only. The number of students, who can speak both Hindi and English, is

If a set has 13 elements and $R$ is a reflexive relation on $A$ with $n$ elements, then

If a set has 13 elements and $R$ is a reflexive relation on $A$ with $n$ elements, then

parallel

card img

With Turito Academy.

card img

With Turito Foundation.

card img

Get an Expert Advice From Turito.

Turito Academy

card img

With Turito Academy.

Test Prep

card img

With Turito Foundation.