The relation ≥ on the set R of all real numbers is
Reflexive
Symmetric
Transitive
Both (1) and (3)
Let f: A→ B. If two or more than two elements have the same image in B, then f is said to be
Many one function
One- one function
Unto function
Into function
The relation R from A = {11,12,13} to B = {8,10,12} defined by y = x-1 is
{(11,10), (13,12)}
{(10,11), (12,13)}
{(10,11), (12,13), (13,12)}
None of these
If A = {1,2,3,4} and B = {2,3,5} then identify the correct relation, among the following from A to B given by xRy, iff x ‹ y
R = {(1,2), (1,3), (2,1), (2,3)}
R = {(3,2), (3,3), (3,4), (3,5)}
R = {(1,2), (1,3), (2,3), (2,5)}
R = {(1,3), (1,5), (3,2), (4,2)}
If A, B and C are non empty sets then Ax (B C)=
(AxB) (AxC)
(AxC) (AxA)
(AxB) (BxC)
Which one of hte following is correct?
The relation R= {(1,1), (2,2),(3,3)} on a set A= {1,2,3} is
Only reflexive
Only symmetric
Only transitive
Reflexive, symmetric and transitiive.
N is the set of natural numbers. The relations R is defined on NxN as follows.
(a,b) R (c,d) a+d= b+c is
All of these
If R be a relation on NxN defined by (a,b) R (c,d) iff ad= bc; then R is
An equivalence relation
Symmetric and transitive but not reflexive
Reflexive and transitive but not symmetric
Reflexive and symmetric but not trasitive.
Let A = {2,3,4,5} and R= {(2,2), (3,3), (4,4) (5,5) } be a relation in A then R is
Trasitive
If R is a relation from {11,12,13} to { 8,10,12} and is defined by y= x-3, then find the value of R-1.
{ (11,8), (10,13)}
{ (8,11), (10,13)}
{ (11,10), (8,13)}
{ (8,10), (11,13)}
