The Relation 'is parallel to' on the set of all lines in a Plane is an Equivalence Relation

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#14. Show that the relation ‘is parallel to’ on the set S of all straight lines in a plane, is an••• #14. Show that the relation ‘is parallel to’ on the set S of all straight lines in a plane, is an•••
The Relation The Relation 'is perpendicular to' on the set of all lines in a Plane is not an Equivalence Relation
Let L be the set of all lines in XY plane and R be the relation in L,defined as R={(L1,L2):L1//L2} Let L be the set of all lines in XY plane and R be the relation in L,defined as R={(L1,L2):L1//L2}
Parallel Line Equivalence Parallel Line Equivalence
Parallel Lines Parallel Lines
Let R be the relation over the set of all straight lines in a plane such that L1RL2⟺L1⊥L2.Then, R is Let R be the relation over the set of all straight lines in a plane such that L1RL2⟺L1⊥L2.Then, R is
Let L be the set of all lines in XY plane and R be the relation in L defined asR = {(L₁, L₂) : Let L be the set of all lines in XY plane and R be the relation in L defined asR = {(L₁, L₂) :
Class 12 Ex 1.1 Q14 Maths | Let 𝑳 be the set of all lines in XY plane and R be the relation in 𝑳 ... Class 12 Ex 1.1 Q14 Maths | Let 𝑳 be the set of all lines in XY plane and R be the relation in 𝑳 ...