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Q.

Let L be the set of all lines in a plane and R be a relation on L defined by l1R l2 if and only if l1⊥l2 then R is

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a

reflexive

b

symmetric

c

transitive

d

an equivalence relation

answer is B.

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Detailed Solution

L1 is not ⊥L1, so R is not reflexiveL1⊥L2⇒L2⊥L1⇒R is symmetric.L1⊥L2 and L2⊥L3⇒L1∥L3⇒R is not transitive.
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Let L be the set of all lines in a plane and R be a relation on L defined by l1R l2 if and only if l1⊥l2 then R is