Let L be the set of all straight lines drawn in a plane, prove that the relation 'is perpendicular to' on L is not transitive.

In the set of straight lines in a plane, for the relation 'perpendicular' check whether it is reflexive, symmetric and transitive.

Let L denote the set of all straight lines in a plane. Let a relation R be defined by l\ R\ m iff l is perpendicular to m for all, l ,\ m in L . Then, R is (a) reflexive (b) symmetric (c) transitive (d) none of these

Let L be the set of all lines in a plane and R be the relation in L defined as R={(L_1,L_2):L_1 (is perpendicular to L_2 } Show that R is symmetric but neither reflexive nor transitive.

Let L denote the set of all straight lines in a plane. Let a relation R be defined by a R b hArr a bot b, AA a, b in L . Then, R is

Let L denote the set of all straight lines in a plane.Let a relation R be defined by alpha R beta alpha _|_ beta,alpha,beta in L .Then R is

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, check the relation is reflexive , symmetric or transitive

Let L be the set of all lines in a plane and let R be a relation defined on L by the rule (x,y)epsilonRtox is perpendicular to y . Then prove that R is a symmetric relation on L .

Let T be the set of all triangles in the Euclidean plane, and let a relation R on T be defined as a\ R\ b if a is congruent to b for all a ,\ b in T . Then, R is (a) reflexive but not symmetric (b) transitive but not symmetric (c) equivalence (d) none of these

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 .

Consider the relation perpendicular on a set of lines in a plane. Show that this relation is symmetric and neither reflexive and nor transitive