If A = {2,4,6} and B = {1,4}, then which of the following relation is correct?
A × B = B × A
A × B = A × A
A × B ≠ B × A
A × B = B × B
Set A has 3 elements and set B has 4 elements. The number of one-one mappings(injections) that can be defined from A to B is.
144
12
24
None of these
Q = (Sinθ + cosθ) which one of the following is the correct range of Q?
-2 ≤ Q
-2 < Q
-√2 ≤ Q ≤√2
-√2 < Q
If A B,then A × A =
B × B
(A × B) (B × A)
(A × A) (B × B)
Let R = {(3,3), (6, 6), (9, 9), (12, 12), (6, 12), (3, 9), (3,12) (3,6)} be a relation on the set A = {3, 6, 9, 12}. The relation is.
An equivalence relation
Reflexive and symmetric
Reflexive and transitive
Only reflexive
If A is the set of even natural numbers less than 8 and B is the set of prime numbers less than 7, then the number of relations from A to B is.
29
92
32
29 - 1
If (2 a - 5, 4) = (9, b + 4),then the values of a and b are
7 and 0
0 and 7
2 and 5
5 and 2
Let f = {(1, 5), (2, 6), (3, 4)}
g = {(4, 7), (5, 8), (6, 9)}. Then gof is
{(4, 7), (5, 8), (6, 9), (1, 5), (2, 6), (3, 4)}
{ }
{(1, 8), (2,9), (3,7)}
Nonbe of these
Which one of the following is the domain of the relation defined on the set N of natural numbers as
R = {(m, n) = 2m + 3n = 30; m, n ∈ N}
{2, 4, 6, 8}
{3, 7, 11, 15}
{3, 6, 9, 12}
{3, 6, 9, 12, 15}
Which of the following is correct?
The relation R {(1, 1), (2, 2), (3, 3)} on a set A = {1, 2, 3} is
Only symmetric
Only transitive
Reflexive, Symmetric and transitive
