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.Find R-1?
{(1,a),(1,b),(1,d)}
{(a,1),(c,1),(d,2),(c,2)}
{(a,1),(1,c),(d,2),(c,2)}
{(a,1),(c,1),(2,d),(2,c)}
Let A be a non-empty set such that A × B = A × C.Then.
A = C
A = B
B = C
A × B = C × C
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
The relation R is defined by R = {(x : x3 ) : x is a prime number less than 10}.The domain of R is
{2,4,6,8}
{2,3,5,7}
{8,27,125,343}
{1,2,3,4}
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
If A B,then A × A =
B × B
(A × B) (B × A)
(A × A) (B × B)
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)}
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 A = {x,y,z} and B = { 1,2}.The number of relations from A into B is
32
64
128
26
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
