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Byju's Answer
Standard XII
Mathematics
Quadratic Equation
The function ...
Question
The function
y
=
f
(
x
)
is the solution of
d
y
d
x
+
x
y
x
2
−
1
=
x
4
+
2
x
√
1
−
x
2
and f(0) = 0, then f(0.5) =
A
82
135
√
3
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B
41
40
√
3
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C
82
145
√
3
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D
41
80
√
3
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Solution
The correct option is
D
41
80
√
3
I
.
F
.
=
e
∫
x
x
2
−
1
d
x
=
√
1
−
x
2
y
√
1
−
x
2
=
∫
(
x
4
+
2
x
)
d
x
=
x
5
5
+
x
2
+
C
f
(
0
)
=
0
⇒
c
=
0
∴
y
=
x
5
5
+
x
2
√
1
−
x
2
⇒
y
(
1
2
)
=
41
80
√
3
.
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0
Similar questions
Q.
The function
y
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f
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in
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