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}
If ,then the values of x and y are
1,2
2,1
-1,-2
-2,1
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 = {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 range of R is
{a,c,d}
{a,b,c,d}
{1,2}
{1,2,3}
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
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 on the set A = {1,2,3,4,5} by R = {(x,y) : < 16} is given by.
{(1,1),(2,1),(3,1),(4,1),(2,3)}
{(2,2),(3,2),(4,2),(2,4)}
{(3,3),(4,3),(5,4),(3,4)}
None of these
Let R be a relation in N defined by R = {(x,y) : x + 2y = 8}.The range of R is.
{2,4,6}
{1,2,3,4,6}
If A and B are any two non-empty sets then if A × B = B × A then
A ≠ B
A = B
A = 2B
If A × B = {(a,x),(a,y),(b,x),(b,y)}.Find A and B?
A = {a,b}
B = {x,y}
A = {a,x}
B = {b,y}
A = {x,y}
B = {a,b}