Question

Let R be a relation on the set of all lines in a plane defined by (1,2) ER line ly is
parallel to line h. Show that R is an equivalence relation.
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Answer 1

Answer:

Let L be the set of all lines in a plane and R be the relation in L defined as R = {(L1, L2) : L1 is perpendicular to L2}. Show that R is symmetric but neither reflexive nor transitive. R= {(L1, L2) : L1 is perpendicular to L2} Since no line can be perpendicular to itself ∴ R is not reflexive.

Step-by-step explanation:

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