Which of the following is correct?
The relation R {(1, 1), (2, 2), (3, 3)} on a set A = {1, 2, 3} is
Only reflexive
Only symmetric
Only transitive
Reflexive, Symmetric and transitive
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}
The relation R defined by R = {(x,x+5) : x ∈ {0,1,2,3,4,5}. The domain of R is
{1,2,3}
{0,1,2,3,4,5}
{5,6,7,8,9,10}
None of these
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)}
Let A be a set of n distinct elements. Then the total number of distinct functions from A to A is
n2
nn
2n
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}
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 12
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
If A B,then A × A =
B × B
(A × B) (B × A)
(A × A) (B × B)
The number of bijective functions (one-one onto) from set A to itself when A contains 106 elements is.
106
1063
106!
2106