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
Let R be a set of real numbers and let s be a relation defined on R as follows.
xSy, if and only if x2 + y2 = 1. Which one of the following statement is correct.
S is a reflexive relation
S is a symmetric relation
S is a transitive relation
S is an anti-symmetric relation
Let A be a set of n distinct elements. Then the total number of distinct functions from A to A is
n2
nn
2n
If A = {1, 2, 3}, B = {x, y}, then the number of functions that can be defined from A into B is
3
6
8
12
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}
Let A and B be two finite sets having m and n elements respectively. Then the total number of mapping from A to B is.
mn
2mn
nm
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
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
The number of bijective functions (one-one onto) from set A to itself when A contains 106 elements is.
106
1063
106!
2106
The relation R is defined by R = {(x : x3) : x is a prime number less than 10}. The range of R is
{8,27,125}
{1,8,27,125}