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NDA Math Area Under the Curves
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© examsnet.com
Question : 13
Total: 27
What is the area of the region bounded by the parabola
y
2
=
6
(
x
−
1
)
and
y
2
=
3
x
?
[NDA I 2018]
√
6
3
2
√
6
3
4
√
6
3
5
√
6
3
Validate
Solution:
Solving
y
2
=
6
(
x
−
1
)
and
y
2
=
3
x
We get
6
x
−
6
=
3
x
⇒
x
=
2
⇒
y
=
±
√
6
Area
=
√
6
∫
−
√
6
(
1
+
y
2
6
−
y
2
3
)
d
y
=
2
√
6
∫
0
(
y
−
y
2
6
)
d
y
=
2
[
y
−
y
3
18
]
0
√
6
=
2
×
2
√
6
3
=
4
√
6
3
© examsnet.com
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