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 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 = {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
If ,then the values of x and y are
1,2
2,1
-1,-2
-2,1
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
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
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
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 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
If A and B are any two non-empty sets then if A × B = B × A then
A ≠ B
A = B
A = 2B
