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Byju's Answer
Standard XIII
Mathematics
Area between Two Curves
The area in s...
Question
The area (in sq. units) bounded by the curve
y
=
√
x
,
2
y
−
x
+
3
=
0
,
x
-axis, and lying in first quadrant is :
A
9
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B
36
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C
18
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D
27
4
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Solution
The correct option is
A
9
2
y
−
x
+
3
=
0...
(
1
)
y
=
√
x
⇒
y
2
=
x
put in equation
(
1
)
⇒
2
y
−
y
2
+
3
=
0
⇒
(
y
+
1
)
(
y
−
3
)
=
0
⇒
y
=
−
1
,
y
=
3
∴
x
=
y
2
=
9
Let's draw the graph
Area of shaded region
=
9
∫
0
√
x
d
x
−
area of
△
A
B
C
=
2
3
[
x
3
/
2
]
9
0
−
1
2
×
3
×
6
=
9
sq. units
Suggest Corrections
0
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