Let A= {a,b,c} and let R= {(a,b), (b,b), (c,a) (c,b). Then range of R-1
{a,b}
{a,b,c}
{a,c}
{b,c}
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
Cartesian product of two sets A and B is Ax B =
{(a,b); aA and bB}
{x; xA and B}
{(a,b); aB and bA}
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
Reflexive
Symmetric
Transitive
All 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)}
The relation ≥ on the set R of all real numbers is
Both (1) and (3)
Let x be any non empty set containing n elements. Then what is the number of relations on x?
2n
22n
n2
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)}
In a Euclidean plane, which one of the following is not an equivalence relation?
Parallelism of lines
Congruence of triangles
Similarity of triangles
Orthogonality of lines.
Let A= {1,2,3} and R= {(1,2), (2,2), (3,1), (3,2)}. Then the domain of R-1 is
{1,2,3}
{2,1}
{1,3}
{2,3}
