Category: Relations

16. Let R be the relation in the set N given by R={(a,b) : a=b–2, b>6}. Choose the

15. Let R be the relation in the set {1,2,3,4} given by R={(1,2), (2,2), (1,1), (4,4), (1,3), (3,3),

14. Let L be the set of all lines in XY plane and R be the relation in

13. Show that the relation R defined in the set A of all polygons as R={(P1,P2) : P1

12. Show that the relation R defined in the set A of all triangles as R={(T1,T2) : T1

11. Show that the relation R in the set A of points in a plane given by R={(P,Q)

10. Give an example of a relation. Which is: (i) Symmetric but neither reflexive nor transitive. (ii) Transitive

9. Show that each of the relation R in the set A={x(in)Z : 0≤x≤12}, given by (i) R={(a,b)

8. Show that the relation R in the set A={1,2,3,4,5} given by R={(a,b) : |a–b| is even}, is