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Maths-

General

Easy

Question

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

Reflexive
Symmetric
Transitive
None of these

The correct answer is: Symmetric

Related Questions to study

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

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

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 $n open parentheses not stretchy ⋂ from i equals 11 to 50 of A subscript i end subscript close parentheses equals$

parallel

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 $Y$ ?

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

parallel

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

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 $S o R$

parallel

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 $A$

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

parallel

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 $5 ?$

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

parallel

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