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 denote the set of all straight lines in a plane. Let a relation R be defined by l\ R\ m if and only if 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 denote the set of all straight lines in a plane. Let a Relation R be defined on L by xRy iff x||y , for x,y in L then R is

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 hArr alpha perp beta,alpha,beta 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 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 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 straight lines drawn in a plane, prove that the relation 'is perpendicular to' on L is not transitive.