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 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 line in a plane defined by (l_1, l_2) in R iff l_1 is parallel to line l_2dot Show that R is an equivalence relation.

Let A be a relation on the set of all lines in a plane defined by (l_(2), l_(2)) in R such that l_(1)||l_(2) , the n R is

Let L be the set of all lines in the XY-plane and R be the relation in L defined by : R = {(l_i l_j) = l_i is parallel to l_j. Aai,j} Show that R is an equivalence relation. Find the set of all lines related to the y = 7x +5.

Let L be the set of all lines in XY plane and R be the relation in L defined as R = {(L _(1) , L _(2)) : L _(1) is parallel to L _(2)}. Show that R is an equivalence relation. Find the set of all lines related to the line y = 2x +4.

Let L be the set of all lines in X Y -plane and R be the relation in L defined as R={(L_1, L_2): L_1 is parallel to L_2} . Show that R is an equivalence relation. Find the set of all lines related to the line y=2x+4 .