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BITSAT 2014

Exam: BITSAT
Year: 2014
Subject: Mathematics
Chapter: Sets and Relations

BITSAT 2014 · Mathematics · Sets and Relations

Let R=\ (3,3),(6,6),(9,9),(12,12),(6,12), (3,9),(3,12),(3,6) be a...

Let

R=\{(3,3),(6,6),(9,9),(12,12),(6,12), (3,9),(3,12),(3,6)

be a relation on the set

A=\{3,6,9,12\}

. Then, the relation is

Options

Aan equivalence relation
Breflexive and symmetric
Creflexive and transitive
Donlyreflexive

Correct answer

C. reflexive and transitive

Step-by-step solution

(3,3),(6,6),(9,9),(12,12), \in R

.

R

isnot symmetricas (6,12)

\notin R

but (12,6)

\in RR

is transitive as the only pair which needs verification is (3,6) and (6,12)

\in R

. \Rightarrow \quad(3,12) \in R

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