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MHTCET 2016 Math Solved Paper
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© examsnet.com
Question : 17
Total: 50
If
y
=
e
m
sin
−
1
x
and
(
1
−
x
2
)
=
A
y
2
,
then
A
is equal to
m
-m
m
2
−
m
2
Validate
Solution:
(c) Given,
y
=
e
m
sin
−
1
x
.......(i)
After differentiating on both sides w.t.
x
,
we get
d
y
d
x
=
e
m
sin
−
1
x
d
d
x
(
m
sin
−
1
x
)
⇒
d
y
d
x
=
e
m
sin
−
1
x
(
m
×
1
√
1
−
x
2
)
⇒
√
1
−
x
2
d
y
d
x
=
m
y
[From eq. (i)]
After squaring on both sides, we get
(
1
−
x
2
)
(
d
y
d
x
)
2
=
m
2
y
2
As,
(
1
−
x
2
)
(
d
y
d
x
)
2
=
A
y
2
Hence,
A
=
m
2
© examsnet.com
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