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L5|Relation & Fucntion...

L5|Relation & Fucntion

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Let R be a relation on the set of all line in a plane defined by (l_(1),l_(2))in R hArr l in el_(1) is parallel to line l_(2). Show that R is an equivalence relation.

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

Let L be the set of all lines in the plane and R be the relation in L, defined as : R = { (l_(i),l_(j))=l_(i) is parallel to l_(j),AA i,j }. Show that R is an equivalence relation. Find the set of all lines related to the line y=7x+5 .

Let L be the set of all straight lines in the Euclidean plane. Two lines l_(1) and l_(2) are said to be related by the relation R iff l_(1) is parallel to l_(2) . Then, the relation R is not