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Questions  

 Let L denote the set of all straight lines in a plane. Let a  relation R be defined by αRβαβ,α,βL. Then, R is

a
Reflexive
b
Symmetric
c
Transitve
d
None of these

detailed solution

Correct option is B

Here, αRβ⇔α⊥β∴α⊥β⇔β⊥αHence, 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 Rso that R is not transitive

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