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MHT CET 2018 Math Solved Paper
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© examsnet.com
Question : 18
Total: 50
The area of the region bounded by
x
2
= 4y, y = 1 , y = 4 and the y-axis lying in the first quadrant is square units.
22
3
28
3
30
21
4
Validate
Solution:
We have
x
2
= 4y ⇒ x = 2
√
y
area between x = 2
√
y
, y = 1 & y = 4
=
4
∫
1
2
√
y
d
y
=
2
[
y
3
∕
2
3
∕
2
]
1
4
= 2
(
2
3
)
[
y
√
y
]
1
4
=
4
3
(
8
−
1
)
=
28
3
© examsnet.com
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