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JEE Main Math Class 11 Coordinate Geometry Part 5 Questions
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© examsnet.com
Question : 2
Total: 100
Let the area of the region
{
(
x
,
y
)
:
x
−
2
y
+
4
≥
0
,
x
+
2
y
2
≥
0
,
x
+
4
y
2
≤
8
,
y
≥
0
}
be
m
n
, where
m
and
n
are coprime numbers. Then
m
+
n
is equal to__
[27-Jan-2024 Shift 1]
Your Answer:
Validate
Solution:
👈: Video Solution
A
=
1
∫
0
[
(
8
−
4
y
2
)
−
(
−
2
y
2
)
]
d
y
+
3
∕
2
∫
1
[
(
8
−
4
y
2
)
−
(
2
y
−
4
)
]
d
y
=
[
8
y
−
2
y
3
3
]
0
1
+
[
12
y
−
y
2
−
4
y
3
3
]
1
3
∕
2
=
107
12
=
m
n
∴
m
+
n
=
119
© examsnet.com
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