Home
Class 12
MATHS
The relation R in R defined as R={(a,b):...

The relation R in R defined as `R={(a,b):a<=b}`, is:
(A) Reflexive and symmetric
(B) Transitive and symmetric
(C) Equivalence
(D) Reflexive,transitive but not symmetric

Promotional Banner

Similar Questions

Explore conceptually related problems

Show that the relation R in R defined as R={(a,b):a<=b} is reflexive and transitive but not symmetric.

Show that the relation R on R defined as R={(a,b):a<=b} is reflexive and transitive but not symmetric.

Show that the relation R on R defined as R={(a,b):a<=b}, is reflexive and transitive but not symmetric.

For n.m in N,n|m means that n a factor of m, the relation |is- (i) reflexive and symmetric (ii) transitive and symmetric (ii) reflexive, transitive and symmetric (iv) reflexive, transitive and not symmetric

(n)/(m) means that n is a factor of m,then the relation T' is (a) reflexive and symmetric (b) transitive and reflexive and symmetric (b) and symmetric (d) reflexive,transtive and not symmetric

Check whether the relation R in R defined by R={(a,b):a<=b^(3)} is reflexive,symmetric or transitive.

Check whether the relation R on R defined by R={(a,b):a<=b^(3)} is reflexive,symmetric or transitive.

In a set of real numbers a relation R is defined as xRy such that |x|+|y|<=1 then relation R is reflexive and symmetric but not transitive symmetric but not transitive and reflexive transitive but not symmetric and reflexive (4) none of reflexive,symmetric and transitive

Consider that the set A = {a, b, c} . Give an example of a relation R on A. Which is : (i)reflexive and symmetric but not transitive (ii) symmetric and transitive but not reflexive (iii) reflexive and transitive but not symmetric.

If a relation R in N defined as R =((a ,b):a (A) Only transitive relation. (B) Only symmetric relation. (C) Only reflexive relation. (D) Transitive and symmetric relation.