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}
Find the values of a and b,if (a - 3, b + 7) = (2, -5) ?
5 and 7
5 and - 12
5 and 12
10 and 2
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
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}
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
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}
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 B,then A × A =
B × B
(A × B) (B × A)
(A × A) (B × B)
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 = {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)}
