Let R be a reflexive relation on a set A and I be identity relation on A . Then

English

Gujarati

Hindi

1.Relation and Function

normal

Let $R$ be a reflexive relation on a set $A$ and $I$ be the identity relation on $A$. Then

A

$R \subset I$

B

$I \subset R$

C

$R = I$

D

None of these

Solution

(b) It is obvious.

Standard 12

Mathematics

Share

Similar Questions

Let $A =\{1,2,3, \ldots, 10\}$ and $R$ be a relation on $A$ such that $R =\{( a , b ): a =2 b+1\}$. Let $\left( a _1, a _2\right)$, $\left(a_2, a_3\right),\left(a_3, a_4\right), \ldots .,\left(a_k, a_{k+1}\right)$ be a sequence of $k$ elements of $R$ such that the second entry of an ordered pair is equal to the first entry of the next ordered pair. Then the largest integer $k$ , for which such a sequence exists, is equal to :

normal

(JEE MAIN-2025)

Let $r$ be a relation from $R$ (Set of real number) to $R$ defined by $r$ = $\left\{ {\left( {x,y} \right)\,|\,x,\,y\, \in \,R} \right.$ and $xy$ is an irrational number $\}$ , then relation $r$ is

normal

Let $R$ be a relation on $N \times N$ defined by $(a, b) R$ (c, d) if and only if $a d(b-c)=b c(a-d)$. Then $R$ is

hard

(JEE MAIN-2023)

Let a relation $R$ be defined by $R = \{(4, 5); (1, 4); (4, 6); (7, 6); (3, 7)\}$ then ${R^{ – 1}}oR$ is

medium

If $A = \left\{ {1,2,3,……m} \right\},$ then total number of reflexive relations that can be defined from $A \to A$ is

normal