Give an example of a relation which is symmetric but neither reflexive nor transitive.

Give an example of a relation. Which is(i) Symmetric but neither reflexive nor transitive.(ii) Transitive but neither reflexive nor symmetric.(iii) Reflexive and symmetric but not transitive.(iv) Reflexive and transitive but not symmetric.(v) Symmetric and transitive but not reflexive.

Give an example of a relation which is transitive but neither reflexive nor symmetric.

Give an example of a relation which is symmetric and transitive but not reflexive.

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

Give an example of a relation which is reflexive and symmetric but not transitive.

The relation R in the set {1,2,3} given by R = {(1,2), (2,1),(1,1)} is a) symmetric and transitive, but not reflexive b) reflexive and symmetric, but not transitive c) symmetric, but neither reflexive nor transitive d) an equivalence relation

If A = {1, 2, 3, 4}, define relations on A which have properties of being (i) reflexive, transitive but not symmetric. (ii) symmetric but neither reflexive nor transitive. (iii) reflexive, symmetric and transitive.

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 A={1,\ 2,\ 3,\ 4} define relations on A which have properties of being 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.