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Consider the following with regard to a relation R on a set of real numbers defined by xRy if and only if 3x + 4y = 5
I and II
I and III
II and III
I, II and III
Question is mentioned below :
{2, 3, 5}
{1, 2}
{2, 3}
None of these
The relation R on a set A = {1, 2, 3, 4} is defined as {(1, 1), (1, 3),(2, 2), (2, 3), (3,1) (3, 2)}.Then, R is
reflexive
symmetric
anti-symmetric
transitive
Question is mentioned below :
{3, 6, 10}
{1, 2}
{2, 3}
{1, 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)}
Sets
A
and
B
have
n
elements in common. How many elements will
(
A
x
B
) and (
B
x
A
) have in common?
Which one 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 symmetrics
only transitive
reflexive, symmetric and transitive
The relation
R
defined on set
A
= {
x
😐
x
|< 3,
x
Î
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)}
None of the above
If
R
be a relation on
N
×
N
defined by (
a
,
b
)
R
(
c
,
d
) if and only if
ad
=
bc
; then
R
is
an equivalence relation
symmetric and transitive but not reflexive
reflexive and transitive but not symmetric
reflexive and symmetric but not transitive
Let A = { -1, 2, 5, 8}, B = { 0,1, 3, 6, 7} and R be the relation ‘is one less than’ from A to B, then how many elements will R contain?
2
3
5
9
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