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
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
If A ⊆ B and C ⊆ D then A × C ⊆ __________.
B
D
B× D
D× B
If n ≥ 2, then the number of onto mappings that can be defined from {1, 2, 3......n} onto {1, 2} is
n2
2n
n2 - 2
2n - 2
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 relation R is defined by R = {(x : x3) : x is a prime number less than 10}. The range of R is
{2,3,5,7}
{8,27,125,343}
{8,27,125}
{1,8,27,125}
If A B,then A × A =
B × B
(A × B) (B × A)
(A × A) (B × B)
Let A = {1,2,3}, B = {1,3,5}.If relation R from A to B given by {(1,3) (2,5), (3,3)} then R-1 is.
{(3,3),(3,1),(5,3)}
{(1,3),(2,5),(3,3)}
{(1,3),(5,2)}
{(3,1),(5,2),(3,3)}
A mapping f:x → y is one-one if
x1 = x2 ⇒f(x1) = f(x2)
f(x1) = f(x2) ⇒x1 = x2
f(x1) ≠ f(x2) for all x1, x2 ∈ x
None of these
