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JEE Main Math Class 11 Coordinate Geometry Part 4 Questions
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© examsnet.com
Question : 4
Total: 100
If the area of the region bounded by the curves
y
2
−
2
y
=
−
x
,
x
+
y
=
0
is
A
, then
8
A
is equal to
[24-Jan-2023 Shift 2]
Your Answer:
Validate
Solution:
y
2
−
2
y
=
−
x
⇒
y
2
−
2
y
+
1
=
−
x
+
1
(
y
−
1
)
2
=
−
(
x
−
1
)
y
=
−
x
Points of intersection
x
2
+
2
x
=
−
x
x
2
+
3
x
=
0
x
=
0
,
−
3
A
=
3
∫
0
(
−
y
2
+
2
y
+
y
)
d
y
=
3
y
2
2
−
y
3
3
|
0
3
=
9
2
8
A
=
36
© examsnet.com
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