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

If $A equals open curly brackets a comma b comma blank c close curly brackets comma blank B equals left curly bracket b comma blank c comma blank d right curly bracket$ and $C equals left curly bracket a comma blank d comma blank c right curly bracket$ , then $open parentheses A minus B close parentheses cross times left parenthesis B intersection C right parenthesis$ is equal to

${(a, c), (a, d)}$
$\{(a, b), (c, d)\}$
${(c, a), (d, a)}$
${(a, c), (a, d), (b, d)}$

The correct answer is: $left curly bracket open parentheses a comma blank c close parentheses comma blank left parenthesis a comma blank d right parenthesis right curly bracket$

Given, $A equals open curly brackets a comma blank b comma blank c close curly brackets comma blank B equals left curly bracket b comma blank c comma blank d right curly bracket$ and $C equals left curly bracket a comma blank d comma blank c right curly bracket$
Now, $A minus B equals open curly brackets a comma blank b comma blank c close curly brackets minus open curly brackets b comma blank c comma blank d close curly brackets equals left curly bracket a right curly bracket$
And $B intersection C equals open curly brackets b comma blank c comma blank d close curly brackets intersection open curly brackets a comma blank d comma blank c close curly brackets equals left curly bracket c comma blank d right curly bracket$
$therefore open parentheses A minus B close parentheses cross times open parentheses B intersection C close parentheses equals left curly bracket a right curly bracket cross times left curly bracket c comma blank d right curly bracket$
$equals left curly bracket open parentheses a comma blank c close parentheses comma blank left parenthesis a comma blank d right parenthesis right curly bracket$

Related Questions to study

Set builder form of the relation
$R equals open curly brackets open parentheses negative 2 comma negative 7 close parentheses comma open parentheses negative 1 comma negative 4 close parentheses comma open parentheses 0 comma negative 1 close parentheses comma open parentheses 1 comma blank 2 close parentheses comma open parentheses 2 comma blank 5 close parentheses close curly brackets$ is

Set builder form of the relation
$R equals open curly brackets open parentheses negative 2 comma negative 7 close parentheses comma open parentheses negative 1 comma negative 4 close parentheses comma open parentheses 0 comma negative 1 close parentheses comma open parentheses 1 comma blank 2 close parentheses comma open parentheses 2 comma blank 5 close parentheses close curly brackets$ is

If $A subscript 1 end subscript subset of A subscript 2 end subscript subset of A subscript 3 end subscript subset of horizontal ellipsis subset of A subscript 50 end subscript$ and $n open parentheses A subscript i end subscript close parentheses equals i minus 1 comma$ then $n open parentheses not stretchy ⋂ from i equals 11 to 50 of A subscript i end subscript close parentheses equals$

If $A subscript 1 end subscript subset of A subscript 2 end subscript subset of A subscript 3 end subscript subset of horizontal ellipsis subset of A subscript 50 end subscript$ and $n open parentheses A subscript i end subscript close parentheses equals i minus 1 comma$ then $n open parentheses not stretchy ⋂ from i equals 11 to 50 of A subscript i end subscript close parentheses equals$

Let $X equals left curly bracket 1 comma blank 2 comma blank 3 comma blank 4 comma blank 5 right curly bracket$ and $Y equals open curly brackets 1 comma blank 3 comma blank 5 comma blank 7 comma blank 9 close curly brackets.$ Which of the following is/are not relations from $X$ to $Y$ ?

Let $X equals left curly bracket 1 comma blank 2 comma blank 3 comma blank 4 comma blank 5 right curly bracket$ and $Y equals open curly brackets 1 comma blank 3 comma blank 5 comma blank 7 comma blank 9 close curly brackets.$ Which of the following is/are not relations from $X$ to $Y$ ?

parallel

Let $R$ be a relation on a set $A$ such that $R equals R to the power of negative 1 end exponent comma$ then $R$ is

Let $R$ be a relation on a set $A$ such that $R equals R to the power of negative 1 end exponent comma$ then $R$ is

Given $n open parentheses U close parentheses equals 20 comma blank n open parentheses A close parentheses equals 12 comma blank n open parentheses B close parentheses equals 9 comma n open parentheses A intersection B close parentheses equals 4$ , where $U$ is the universal set, $A$ and $B$ are subsets of $U$ , then $n left square bracket open parentheses A union B close parentheses to the power of c end exponent right square bracket$ equals to

Given $n open parentheses U close parentheses equals 20 comma blank n open parentheses A close parentheses equals 12 comma blank n open parentheses B close parentheses equals 9 comma n open parentheses A intersection B close parentheses equals 4$ , where $U$ is the universal set, $A$ and $B$ are subsets of $U$ , then $n left square bracket open parentheses A union B close parentheses to the power of c end exponent right square bracket$ equals to

In a certain town 25% families own a cell phone, 15% families own a scooter and 65% families own neither a cell phone nor a scooter. If 1500 families own both a cell phone and a scooter, then the total number of families in the town is

In a certain town 25% families own a cell phone, 15% families own a scooter and 65% families own neither a cell phone nor a scooter. If 1500 families own both a cell phone and a scooter, then the total number of families in the town is

parallel

Two finite sets have $m$ and $n$ elements. The number of elements in the power set of first set is 48 more than the total number of elements in the power set of the second set. Then, the value of $M$ and $N$ are

Two finite sets have $m$ and $n$ elements. The number of elements in the power set of first set is 48 more than the total number of elements in the power set of the second set. Then, the value of $M$ and $N$ are

If $R$ is a relation from a set $A$ to a set $B$ and $S$ is a relation from $B$ to a set $C comma$ then the relation $S o R$

If $R$ is a relation from a set $A$ to a set $B$ and $S$ is a relation from $B$ to a set $C comma$ then the relation $S o R$

If $A$ is a non-empty set, then which of the following is false?
$p blank colon$ There is at least one reflexive relation on $A$
$q blank colon$ There is at least one symmetric relation on $A$

If $A$ is a non-empty set, then which of the following is false?
$p blank colon$ There is at least one reflexive relation on $A$
$q blank colon$ There is at least one symmetric relation on $A$

parallel

If a set $A$ contains $n$ elements, then which of the following cannot be the number of reflexive relations on the set $A ?$

If a set $A$ contains $n$ elements, then which of the following cannot be the number of reflexive relations on the set $A ?$

If relation $R$ is defined as :
$a R b$ if $" a$ is the father of $b ".$ Then, $R blank$ is

If relation $R$ is defined as :
$a R b$ if $" a$ is the father of $b ".$ Then, $R blank$ is

If $A equals open curly brackets 1 comma blank 2 comma blank 3 comma blank 4 comma blank 5 comma blank 6 close curly brackets comma$ then how many subsets of $A$ contain the elements $2 comma blank 3$ and $5 ?$

If $A equals open curly brackets 1 comma blank 2 comma blank 3 comma blank 4 comma blank 5 comma blank 6 close curly brackets comma$ then how many subsets of $A$ contain the elements $2 comma blank 3$ and $5 ?$

parallel

If $n open parentheses A intersection B close parentheses equals 5 comma blank n open parentheses A intersection C close parentheses equals 7$ and $n open parentheses A intersection B intersection C close parentheses equals 3 comma$ then the minimum possible value of $n left parenthesis B intersection C right parenthesis$ is

If $n open parentheses A intersection B close parentheses equals 5 comma blank n open parentheses A intersection C close parentheses equals 7$ and $n open parentheses A intersection B intersection C close parentheses equals 3 comma$ then the minimum possible value of $n left parenthesis B intersection C right parenthesis$ is

Let $R$ be a relation on the set $N$ of natural numbers defined by $n R m left right double arrow n$ is a factor of $m open parentheses i. e. blank n blank close vertical bar blank m right parenthesis.$ Then, $R$ is

Let $R$ be a relation on the set $N$ of natural numbers defined by $n R m left right double arrow n$ is a factor of $m open parentheses i. e. blank n blank close vertical bar blank m right parenthesis.$ Then, $R$ is

If $A equals open curly brackets a comma b comma c comma l comma m comma n close curly brackets comma$ then the maximum number of elements in any relation on $A$ is

If $A equals open curly brackets a comma b comma c comma l comma m comma n close curly brackets comma$ then the maximum number of elements in any relation on $A$ is

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.