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Mathematics
Problem
A tangent to the curve,
y
=
f
(
x
)
y=f(x)
y
=
f
(
x
)
at
P
(
x
,
y
)
P(x,y)
P
(
x
,
y
)
meets x-axis at A and y-axis at B. If
A
P
:
B
P
=
1
:
3
AP:BP=1:3
A
P
:
B
P
=
1
:
3
and
f
(
1
)
=
1
f(1)=1
f
(
1
)
=
1
, then the curve also passes through the point : [JEE-MAIN ONLINE-2017] (1)
(
1
3
,
24
)
\left(\frac{1}{3}, 24\right)
(
3
1
,
24
)
(2)
(
2
,
1
8
)
\left(2, \frac{1}{8}\right)
(
2
,
8
1
)
(3)
(
1
2
,
4
)
\left(\frac{1}{2}, 4\right)
(
2
1
,
4
)
(4)
(
3
,
1
28
)
\left(3, \frac{1}{28}\right)
(
3
,
28
1
)
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