Relation "is subset of" on power set P(A) of a set A is

English

Gujarati

Hindi

1.Relation and Function

easy

The relation "is subset of" on the power set $P(A)$ of a set $A$ is

Symmetric

Anti-symmetric

Equivalency relation

None of these

Solution

(b) The relation is not symmetric, because $A \subset B$ does not imply that $B \subset A$. But it is anti-symmetric because $A \subset B$ and $B \subset A$ ==> $A=B.$

Standard 12

Mathematics

Let $f: X \rightarrow Y$ be a function. Define a relation $R$ in $X$ given by $R =\{(a, b): f(a)=f(b)\} .$ Examine if $R$ is an equivalence relation.

easy

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

medium

Maximum number of equivalence relations on set $A = \{1, 2, 3, 4\}$ is $N$, then –

normal

Which of the following is not correct for relation $\mathrm{R}$ on the set of real numbers ?

medium

(JEE MAIN-2021)

Show that the number of equivalence relation in the set $\{1,2,3\} $ containing $(1,2)$ and $(2,1)$ is two.

medium

The relation "is subset of" on the power set $P(A)$ of a set $A$ is

Solution

Similar Questions

Let $f: X \rightarrow Y$ be a function. Define a relation $R$ in $X$ given by $R =\{(a, b): f(a)=f(b)\} .$ Examine if $R$ is an equivalence relation.

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

Maximum number of equivalence relations on set $A = \{1, 2, 3, 4\}$ is $N$, then –

Which of the following is not correct for relation $\mathrm{R}$ on the set of real numbers ?

Show that the number of equivalence relation in the set $\{1,2,3\} $ containing $(1,2)$ and $(2,1)$ is two.

Start a Free Trial Now