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Problem
Problem
A curve is represented parametrically by the equations
x
=
t
+
e
a
t
x = t + e^{at}
x
=
t
+
e
a
t
and
y
=
t
−
e
a
t
y = t - e^{at}
y
=
t
−
e
a
t
, where
t
∈
R
t \in \mathbb{R}
t
∈
R
and
a
>
0
a > 0
a
>
0
. If the curve touches the axis of
x
x
x
at the point
A
A
A
, then the coordinates of the point
A
A
A
are a.
(
1
,
0
)
(1, 0)
(
1
,
0
)
b.
(
1
/
e
,
0
)
(1/e, 0)
(
1/
e
,
0
)
c.
(
e
,
0
)
(e, 0)
(
e
,
0
)
d.
(
2
e
,
0
)
(2e, 0)
(
2
e
,
0
)
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