- Home
- Standard 12
- Mathematics
1.Relation and Function
medium
Let a set $A=A_{1} \cup A_{2} \cup \ldots \cup A_{k,} \quad$ where $A_{ i } \cap A _{ j }=\phi$ for $i \neq j 1 \leq i , j \leq k$. Define the relation $R$ from $A$ to $A$ by $R=\left\{(x, y): y \in A_{i}\right.$ if and only if $\left.x \in A_{i}, 1 \leq i \leq k\right\}$. Then, $R$ is
A
reflexive, symmetric but not transitive
B
reflexive, transitive but not symmetric
C
reflexive but not symmetric and transitive
D
an equivalence relation
(JEE MAIN-2022)
Solution
$A =\{1,2,3\}$
$R=\{(1,1),(1,2),(1,3)(2,1),(2,2),(2,3)(3,1),(3,2)(3,3)\}$
Standard 12
Mathematics
