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JEE Advanced 2016 Paper 1 Mathematics Q7
Mathematics
Problem
Let
f
:
(
0
,
∞
)
→
R
f:(0,\infty)\to\mathbb R
f
:
(
0
,
∞
)
→
R
be a differentiable function such that
f
′
(
x
)
=
2
−
f
(
x
)
x
f'(x)=2-\frac{f(x)}x
f
′
(
x
)
=
2
−
x
f
(
x
)
for all
x
∈
(
0
,
∞
)
x\in(0,\infty)
x
∈
(
0
,
∞
)
and
f
(
1
)
≠
1
f(1)\ne1
f
(
1
)
=
1
. Then
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