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 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 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.

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 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.

If R is a relation on the set of all straight lines drawn in a plane defined by l_(1) R l_(2) iff l_(1)botl_(2) , then R is

Let a relation R_1 on the set R of real numbers be defined as (a , b) in R iff 1+a b >0 for all a , b in Rdot Show that R_1 is reflexive and symmetric but not transitive.

Let a relation R_1 on the set R of real numbers be defined as (a ,\ b) in R_1 1+a b >0 for all a ,\ b in R . Show that R_1 is reflexive and symmetric but not transitive.