Let R = {(1,3), (4, 2), (2, 4) (2, 3) (3, 1)} be a relation on the set A = {1, 2, 3, 4}. The relation R is:
Reflexive
Transitive
Not symmetric
A function
If A = {5, 6, 7} and B = {1, 2, 3, 4}, then number of elements in set A × B × B is equal to.
36
48
16
None of these
If the set A has 3 elements and the set B = {a,b,c} Then the number of elements in A x B is
9
6
27
The relation R defined on set A = {x: |x| < 3, x z} by R = {(x, y):y = |x|} is:
{(-2, 2), (-1, 1), (0,0), (1, 1), (2, 2)}
{(-2, -2), (-2, 2), (-1, 1), (-1, -1), (0, 0), (1, -2), (1, 2), (2, -1), (2, -2)}.
{(0, 0), (1, 1), (2, 2)}
Domain of the relation {(-3,1) (-1,1) (1,0) (3,0)} is
{-3,-1,-1,3}
{-3,-1,1,3}
{1,1,0}
{1,0}
If A = {1, 2, 3, 4} and B = {2, 3, 5}, then identify the correct relation, among the following from A to B given by xRy, if and only if x < y:
R = {(1,2), (1, 3), (2,2), (2, 3)}
R = {(3,2), (3,3), (3,4), (3,5)}
R = {(1,2), (1,3), (2,3), (2,5)}
R = {(1,3), (1,5), (3,2), (4,2)}
A relation from P to Q is
Universal set of P × Q
P × Q
An equivalent set of P × Q
A subset of P × Q
Let A = {2, 3, 4, 5} and R = {(2, 2), (3, 3), (4, 4), (5, 5)} be a relation in A. Then R is.
Symmetric
If A × B = {(1,1), (1, 2), (1, 3), (2, 1), (2, 2), (2, 3)}, then A is equal to.
{1, 2}
{1, 2, 3}
{2, 3}
If A × B = {(1,1), (1,2), (1, 3), (2, 1), (2,2), (2, 3)}, then B is equal to.
