Let R be the relation over the set of straight lines of a plane ,such that l1Rl2 ⇔l1 ⊥ l2 Then R is
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a
symmetric
b
reflexive
c
transitive
d
an equivalence relation
answer is A.
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Detailed Solution
l1R l1⇒ l1 is not perpendicular to l1R is not reflexive l1 R l 2 ⇒ l1⊥l 2⇒ l2⊥l 1⇒ l2 R l 1 ∴ Hence R is symmetric l1Rl2 and l2R l3 ⇒l1Rl3 ∴R is not transitive