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Byju's Answer
Standard IX
Mathematics
Complement
Let Z be the ...
Question
Let Z be the set of all integers and A={(x,y);x^4-y^4=175,x,y are integers} B={(x,y);x>y,x,y are integers} Then the number of elements in A intersection B is
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Similar questions
Q.
Let S be the set of all ordered pairs
(
x
,
y
)
of positive integers, with HCF(x, y)
=
16
and LCM(x, y)
=
48000
. The number of elements in S is?
Q.
A
=
{
(
x
,
y
)
:
x
2
+
y
2
≤
9
;
x
,
y
are integers
}
B
=
{
(
x
,
y
)
:
|
x
−
1
−
x
2
|
≤
|
x
2
−
3
x
+
4
|
;
x
,
y
are integers
}
Number of integers
(
x
,
y
)
in set
A
∩
B
are
Q.
Suppose
L
=
{
p
,
q
,
r
,
s
,
t
}
is a lattice represented by the following Hasse diagram:
For any
x
y
ϵ
L
, not necessarily distinct,
x
∨
y
and
x
∧
y
are join and meet of
x
,
y
respectively. Let
L
3
=
{
(
x
,
y
,
z
)
:
x
,
y
,
z
ϵ
L
}
be the set of all ordered triplets of the elements of
L
. Let
p
r
, be the probability that an element
(
x
,
y
,
z
)
ϵ
L
3
chosen equiprobably satisfies
x
∨
(
y
∧
z
)
)
=
(
x
∨
y
)
∧
(
x
∨
z
)
. Then
Q.
Divide:
(
x
4
−
y
4
)
by
(
x
−
y
)
. Is
(
x
−
y
)
a factor of
(
x
4
−
y
4
)
?
Q.
If x, y, z are positive integers then value of the expression (x + y) (y + z) (z + x) is
(a) = 8xyz
(b) > 8xyz
(c) < 8xyz
(d) = 4xyz
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