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

Show that relation R = {(L_1, L_2) : L_1 is parallel to L_2 }, defined on the set of all lines, is an equivalence relation.

Show that the relation ‘is perpendicular to' on the set A of all coplanar straight lines is symmetric but it is neither reflexive nor transitive.

Let L be the set of all lines in the 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.

Show that the relation R in the set {1,2,3} given by R = {(1,2),(2,1)} is symmetric but neither reflexive nor transitive.

Show that the relation R in the set {1, 2, 3} given by R = {(1, 2), (2, 1)} is symmetric but neither reflexive nor transitive.

Show that the relation R in the set {1, 2, 3} given by R= {(1, 2), (2, 1)} is symmetric but neither reflexive nor transitive.

Show that the relation ‘>’ on the set R of all real numbers is transitive but it is neither reflexive nor symmetric.

The given relation is defined on the set of real numbers. a R b iff |a| = |b| . Find whether these relations are reflexive, symmetric or transitive.

Line AB perpendicular to l is written as

Show that the relation R in the set R of real numbers, defined as R = {(a, b) : a le b^2} , is neither reflexive nor symmetric nor transitive.