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}
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 A B and C D then A × C
B
D
B × D
D × 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 range of R is
{a,c,d}
{a,b,c,d}
{1,2}
{1,2,3}
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)}
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
A = {1,2,3,4,5} and B = {4,6,9}. A relation R from A to B defined by R = {(x,y) : the difference between x and y is odd, x A,y B}.Write R in Roster form.
{(1,4) (1,6) (2,9),(3,4) ,(3,6) (5,4), (5,6)}
{(4,1),(6,2),(9,3),(4,3),(6,3),(4,5),(6,5)}
{(1,4),(2,6 ) (2,9),(3,4) (3,6),(5,4) (5,6)}
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}
Let A be a non-empty set such that A × B = A × C.Then.
A = C
B = C
A × B = C × C
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)}
