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JEE Main Math Class 11 Coordinate Geometry Part 5 Questions
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© examsnet.com
Question : 14
Total: 100
The area enclosed by the curves
x
y
+
4
y
=
16
and
x
+
y
=
6
is equal to :
[1-Feb-2024 Shift 1]
28
−
30
log
e
2
30
−
28
log
e
2
30
−
32
log
e
2
32
−
30
log
e
2
Validate
Solution:
👈: Video Solution
x
y
+
4
y
=
16
y
(
x
+
4
)
=
16
.........(1)
x
+
y
=
6
............(2)
on solving, (1) & (2)
we get
x
=
4
,
x
=
−
2
Area
=
4
∫
−
2
(
(
6
−
x
)
−
(
16
x
+
4
)
)
dx
=
30
−
32
ln
2
© examsnet.com
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