A relation on set `={1,2,3,4,5}` is defined as `R="{"|"a-b"|"` is prime number`}` then `R` is (a) Reflexive only (b) Symmetric only (c) Transitive only (d) Symmetric and transitive only (e) equivalence

If A={a ,\ b ,\ c} , then the relation R={(b ,\ c)} on A is (a) reflexive only (b) symmetric only (c) transitive only (d) reflexive and transitive only

If A={1, 2, 3} , then a relation R={(2,3)} on A is (a) symmetric and transitive only (b) symmetric only (c) transitive only (d) none of these

Determine whether Relation R on the set A={1,\ 2,\ 3,\ 4,\ 5,\ 6} defined as R={(x ,\ y): y is divisible by x} is reflexive, symmetric or transitive.

If R is a relation on the set A={1,\ 2,\ 3} given by R={(1,\ 1),\ (2,\ 2),\ (3,\ 3)} , then R is (a) reflexive (b) symmetric (c) transitive (d) all the three options

Let R be a relation on the set N of natural numbers defined by n\ R\ m iff n divides mdot Then, R is (a) Reflexive and symmetric (b) Transitive and symmetric (c) Equivalence (d) Reflexive, transitive but not symmetric

R is a relation on the set Z of integers and it is given by (x ,\ y) in RhArr|x-y|lt=1. Then, R is (a) reflexive and transitive (b) reflexive and symmetric (c) symmetric and transitive (d) an equivalence relation

R={(b , c)} is defined on set A={a ,\ b ,\ c} . Find whether or not it is (i) reflexive (ii) symmetric (iii) transitive.

R_2={(a ,\ a)} is defined on set A={a ,\ b ,\ c} . Find whether or not it is (i) reflexive (ii) symmetric (iii) transitive.

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

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