Let A be the non-void set of the children in | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(D) Let $R$ be the relation defined by $xRy$ if $x$ is a brother of $y$. $1$. Reflexive: $A$ person cannot be a brother of themselves. Thus,$xRx$ is f

Vedclass · Accepted Answer

None of these

Vedclass · Answer

(D) Let $R$ be the relation defined by $xRy$ if $x$ is a brother of $y$. $1$. Reflexive: $A$ person cannot be a brother of themselves. Thus,$xRx$ is false. So,it is not reflexive. $2$. Symmetric: If $x$ is a brother of $y$,then $y$ is a brother of $x$ (assuming $y$ is male). However,if $y$ is a sister,$y$ is not a brother of $x$. In the context of the relation '$x$ is a brother of $y$',if $x$ is a brother of $y$,it does not necessarily imply $y$ is a brother of $x$ (e.g.,if $y$ is a girl). $3$. Transitive: If $x$ is a brother of $y$ and $y$ is a brother of $z$,then $x$ is a brother of $z$. This holds true. Given the standard interpretation of this problem in textbooks,the relation '$x$ is a brother of $y$' is typically considered neither reflexive,nor symmetric,nor transitive in a general sense. However,if we assume the set consists only of brothers,it would be symmetric and transitive. Given the options,the most appropriate answer is that it is not reflexive,symmetric,or transitive. Therefore,the correct choice is $(d)$.

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

Similar Questions

Let $A = \{1, 2, 3\}$. The number of relations containing $(1, 2)$ and $(1, 3)$ which are reflexive and symmetric but not transitive is:

The maximum number of equivalence relations on the set $A = \{1, 2, 3, 4\}$ is $N$. Then -

$A$ relation $R$ defined on a set $A$ is anti-symmetric if $(a, b) \in R$ and $(b, a) \in R$ implies:

Let $R$ be a relation on $\mathbb{R}$,given by $R = \{(a, b) : 3a - 3b + \sqrt{7} \text{ is an irrational number} \}$. Then $R$ is

Let $R$ be a relation defined on $N$ such that $a R b$ if $2a + 3b$ is a multiple of $5$,where $a, b \in N$. Then $R$ is

Vedclass Test Series

Exam Paper Generator

Online Exam Module