Given the relation `R={(1,\ 2),\ (2,\ 3)}` on the set `A={1,\ 2,\ 3}` , add a minimum number of ordered pairs so that the enlarged relation is symmetric, transitive and reflexive.

Given the relation R= {(2,3),(3,4)} on the set A = {2, 3, 4} . The number of minimum ordered pasirs to be added to R so that R is reflexive and symmetric

The relation R={(1,\ 1),\ (2,\ 2),\ (3,\ 3)} on the set {1, 2, 3} is (a) symmetric only (b) reflexive only (c) an equivalence relation (d) transitive only

Let A={1,\ 2,\ 3} and R={(1,\ 2),\ (1,\ 1),\ (2,\ 3)} be a relation on A . What minimum number of ordered pairs may be added to R so that it may become a transitive relation on A .

Let A={1,2,3} and R={(1,2),(1,1),(2,3)} be a relation on A . What minimum number of ordered pairs may be added to R so that it may become a transitive relation on Adot

If A={1,\ 2,\ 3,\ 4} define relations on A which have properties of being reflexive, symmetric and transitive.

The smallest reflexive relation on the set A {1, 2, 3} is

Let A={1,\ 2,\ 3} and consider the relation R={(1,\ 1),\ (2,\ 2),\ (3,\ 3),\ (1,\ 2),\ (2,\ 3),\ (1,\ 3)} . Then, R is (a) reflexive but not symmetric (b) reflexive but not transitive (c) symmetric and transitive (d) neither symmetric nor transitive

Let A={1,\ 2,\ 3} . Then, show that the number of relations containing (1, 2) and (2, 3) which are reflexive and transitive but not symmetric is three.

Write the smallest reflexive relation on set A={1,\ 2,\ 3,\ 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