Let A = {x,y,z} and B = { 1,2}.The number of relations from A into B is
32
64
128
26
The relation R defined by R = {(x,x+5) : x {0,1,2,3,4,5}.The range of R is
{1,2,3,4,5}
{6,7,8,9,10}
{5,6,7,8,9}
{5,6,7,8,9,10}
Let R be a relation in N defined by R = {(1+x,1+x2) : x ≤ 5,x N}.Which of the following is false?
R = {(2,2),(3,5),(4,10),(5,17),(6,26)}
Domain of R = {2,3,4,5,6}
Range of R = {2,5,10,17,26}
Atleast one is false
If A B,then A × A =
B × B
(A × B) (B × A)
(A × A) (B × B)
Let A = {1,2,3} ,B = {a,b,c,d} be two sets and let R = {(1,a),(1,c),(2,d),(2,c)} be a relation from A to B.The domain of R is
{a,b,c,d}
{1,2}
{1,2,3}
R is a relation from {11,12,13} to {8,10,12} defined by y = x - 3 .The relation R-1 is.
{(11,8),(13,10)}
{(8,11),(10,13)}
{(8,11),(9,12),(10,13)}
None of these
Let A and B be two non-empty sets having n elements in common,then A × B and B × A have ___________ elements in common.
n2
n
n/2
2 n
If A and B are any two non-empty sets then if A × B = B × A then
A ≠ B
A = B
A = 2B
Let A = {1,2,3}, B = {1,3,5}.If relation R from A to B given by {(1,3) (2,5), (3,3)} then R-1 is.
{(3,3),(3,1),(5,3)}
{(1,3),(2,5),(3,3)}
{(1,3),(5,2)}
{(3,1),(5,2),(3,3)}
If A = {2,4,6} and B = {1,4}, then which of the following relation is correct?
A × B = B × A
A × B = A × A
A × B ≠ B × A
A × B = B × B
