First slide

Relations XII

Question

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

Moderate

A

Reflexive
B

Symmetric
C

Transitve
D

None of these

Solution

$Here, α R β \Leftrightarrow α ⊥ β ∴ α ⊥ β \Leftrightarrow β ⊥ α$
Hence, R is symmetric
One line is not perpendicular to it self, so that R is not reflexive

Suppose (L,M), (M,N) are ordered pairs of R, it means L is perpendicular to M and M is perpendicular to N
it does not implies that L is perpendicular to N, so that (M, N) does not belongs to R
so that R is not transitive

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