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}
{1,2,3,4,6}
None of these
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)}
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}
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 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 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}
If A B,then A × A =
B × B
(A × B) (B × A)
(A × A) (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}
Let A = {x,y,z} and B = { 1,2}.The number of relations from A into B is
32
64
128
26
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)}
