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}
If A and B are any two non-empty sets then if A × B = B × A then
A ≠ B
A = B
A = 2B
None of these
If R = {(x,y) : x,y z,x2 + y2 ≤ 4} is a relation in Z,then domain of R is .
{0,1,2}
{-2,-1,0}
{-2,-1,0,1,2}
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)}
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
Let A be a non-empty set such that A × B = A × C.Then.
A = C
B = C
A × B = C × C
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}
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)}
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}
