Let A = {1, 2, 3, 4} and let R= {(2, 2), (3, 3), (4, 4), (1, 2)} be a relation on A . Then R is

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1.Relation and Function

easy

Let $A = \{1, 2, 3, 4\}$ and let $R= \{(2, 2), (3, 3), (4, 4), (1, 2)\}$ be a relation on $A$. Then $R$ is

A

Reflexive

B

Symmetric

C

Transitive

D

None of these

Solution

(c) Since $(1, 1)$$\not \in R$ so, is not reflexive.

Now $(1, 2)$ $ \in R$ but $(2,1)$ $\not \in R$, therefore $R$ is not symmetric Clearly $R$ is transitive.

Standard 12

Mathematics

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