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Byju's Answer
Standard VI
Mathematics
Idea of a Set
The set S and...
Question
The set S and E are defined as given below:
S
=
{
(
x
,
y
)
:
|
x
−
3
|
<
1
a
n
d
|
y
−
3
|
<
1
}
E
=
{
(
x
,
y
)
:
4
x
2
+
9
y
2
−
32
x
−
54
y
+
109
≤
0
}
then
S
⊂
E
If true enter 0 else enter 1.
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Solution
In
E
,
4
x
2
+
9
y
2
−
32
x
−
54
y
+
109
≤
0
⟹
(
x
−
4
)
2
9
+
(
y
−
3
)
2
4
≤
1
⟹
(
x
,
y
)
are points on or inside the ellipse
⟹
x
−
3
∈
[
−
2
,
4
]
,
|
y
−
3
|
∈
[
0
,
2
]
⟹
S
⊂
E
The correct answer is
0
Suggest Corrections
0
Similar questions
Q.
The set
S
and
E
are defined as given below:
S
=
{
(
x
,
y
)
:
|
x
−
3
|
<
1
and
|
y
−
3
|
<
1
}
E
=
{
(
x
,
y
)
:
4
x
2
+
9
y
2
−
32
x
−
54
y
+
109
≤
0
}
then
S
⊂
E
Q.
Let
A
and
B
be two sets defined as given below:
A
=
{
(
x
,
y
)
:
|
x
−
3
|
<
1
and
|
y
−
3
|
<
1
}
B
=
{
(
x
,
y
)
:
4
x
2
+
9
y
2
−
32
x
−
54
y
+
109
≤
0
}
Then,
Q.
Given
d
y
d
x
+
y
x
=
y
2
.
Solution is
k
x
=
e
1
/
x
y
If true enter 1 else enter 0
Q.
True or false.
If
d
y
d
x
+
y
2
x
=
y
, then
k
x
=
e
1
/
v
=
e
x
/
y
(Enter 1 if true or 0 otherwise)
Q.
If
sin
x
=
cos
y
, then
x
+
y
=
45
0
;
If true enter 1 else 0
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