The relation "is subset of" on the power set $P(A)$ of a set $A$ is
The relation "is subset of" on the power set $P(A)$ of a set $A$ is
- A
Symmetric
- B
Anti-symmetric
- C
Equivalency relation
- D
None of these
Similar Questions
Show that the number of equivalence relation in the set $\{1,2,3\} $ containing $(1,2)$ and $(2,1)$ is two.
Show that the number of equivalence relation in the set $\{1,2,3\} $ containing $(1,2)$ and $(2,1)$ is two.
The void relation on a set $A$ is
The void relation on a set $A$ is
Let $S=\{1,2,3, \ldots, 10\}$. Suppose $M$ is the set of all the subsets of $S$, then the relation $R=\{(A, B): A \cap B \neq \phi ; A, B \in M\}$ is :
Let $S=\{1,2,3, \ldots, 10\}$. Suppose $M$ is the set of all the subsets of $S$, then the relation $R=\{(A, B): A \cap B \neq \phi ; A, B \in M\}$ is :
- [JEE MAIN 2024]
Show that each of the relation $R$ in the set $A =\{x \in Z : 0 \leq x \leq 12\},$ given by $R =\{(a, b):|a-b| $ is a multiple of $4\}$
Show that each of the relation $R$ in the set $A =\{x \in Z : 0 \leq x \leq 12\},$ given by $R =\{(a, b):|a-b| $ is a multiple of $4\}$
Solution set of $x \equiv 3$ (mod $7$), $p \in Z,$ is given by
Solution set of $x \equiv 3$ (mod $7$), $p \in Z,$ is given by