First slide

Relations XII

Question

Let R be a relation on the set N of natural numbers defined by n $R m \Leftrightarrow n$ is a factor of m (i.e. n | m). Statement-1: R is not an equivalence relation Statement-2: R is not symmetric

Moderate

A

STATEMENT-1 is True, STATEMENT-2 is True; STATEMENT-2 is a correct explanation for STATEMENT-1
B

STATEMENT-1 is True, STATEMENT-2 is True; STATEMENT-2 is NOT a correct explanation for STATEMENT-1
C

STATEMENT-1 is True, STATEMENT-2 is False
D

STATEMENT-1 is False, STATEMENT-2 is True

Solution

Statement-2 is true as 2 | 6 $\Rightarrow$ 2R6 but 6 does not divide 2 so R is not symmetric $\Rightarrow$ R is not an equivalence relation and the statement-1 is also true.

Get Instant Solutions

When in doubt download our app. Now available Google Play Store- Doubts App

Recieve an sms with download link

Doubts App

OR

SCAN ME

Doubts App

Doubts App