Let L denote set of all straight lines in a plane. Let a relation R be defined by α Rβ Leftrightar

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1.Relation and Function

easy

Let $L$ denote the set of all straight lines in a plane. Let a relation $R$ be defined by $\alpha R\beta \Leftrightarrow \alpha \bot \beta ,\,\alpha ,\,\beta \in L$. Then $R$ is

A

Reflexive

B

Symmetric

C

Transitive

D

None of these

Solution

(b) Here $\alpha R\beta \Leftrightarrow \alpha \bot \beta $

$\therefore \alpha \, \bot \,\beta \Leftrightarrow \beta \, \bot \,\alpha $

Hence, $R$ is symmetric.

Standard 12

Mathematics

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