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Byju's Answer
Standard VIII
Mathematics
Properties of Negative Numbers
25. Let z be ...
Question
25. Let z be the set of all integers and A={(a, b) :a2+3b2=28,a,bz} B={(a, b) :a>b,a,bz},then n(AB) is equal to
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Q.
Let
Z
denotes the set of all integers and
A
=
{
(
a
,
b
)
:
a
2
+
3
b
2
=
28
,
a
,
b
∈
Z
}
and
B
=
{
(
a
,
b
)
:
a
<
b
,
a
,
b
∈
Z
}
. Then, the number of elements in
A
∩
B
is
Q.
Let
¯
¯
b
z
+
b
¯
¯
¯
z
=
c
,
b
≠
0
,
be a line in the complex plane, where
¯
¯
b
is the complex conjugate of
b
.
If a point
z
1
is the reflection of a point
z
2
through the line, then
¯
¯¯¯
¯
z
1
b
+
z
2
¯
¯
b
=
Q.
The number of elements in the set
{
(
a
,
b
)
:
2
a
2
+
3
b
2
=
35
,
a
,
b
∈
Z
}
, where
Z
is the set of all integers is
Q.
The number of elements in the set
{
(
a
,
b
)
/
2
a
2
+
3
b
2
=
35
,
a
,
b
∈
z
}
when
z
is the set of all integers is
Q.
The number of elements in the set
S
=
{
(
a
,
b
)
:
2
a
2
+
3
b
2
=
35
;
a
,
b
∈
Z
}
,
where
Z
is the set of all integers, is
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