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
Domain of √(4x - x2) is
[0,4]
(0,4)
R -(0,4)
R -[0,4]
Let A = {2, 3, 4, 5} and R = {(2, 2), (3, 3), (4, 4), (5, 5)} be a relation in A. Then R is.
Reflexive
Symmetric
Transitive
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
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:
Not symmetric
A function
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)}
If A × B = {(1,1), (1,2), (1, 3), (2, 1), (2,2), (2, 3)}, then B is equal to.
{1, 2}
{1, 2, 3}
{2, 3}
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)}
The relation R from A = {11, 12, 13} to B = {8, 10, 12} defined by y = x - 1 is:
{(11, 10), (13, 12)}
{(10, 11), (12, 13)}
{(10, 11), (12, 13), (13, 12)}
Let A = {a,b,c,d}, B = {b,c,d,e}. Then n[(A × B) ∩ B × A)] is equal to
3
