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Mathematics
Problem
For the curve defined by
x
=
t
2
−
4
t
x=t^{2}-4t
x
=
t
2
−
4
t
and
y
=
t
3
−
3
t
y=t^{3}-3t
y
=
t
3
−
3
t
, let
L
1
L_1
L
1
be the tangent line at
t
=
1
t=1
t
=
1
. For which of the following values of
t
t
t
(
t
≠
1
t\ne 1
t
=
1
) is the tangent line
L
2
L_2
L
2
parallel to
L
1
L_1
L
1
? a)
0
0
0
b)
2
2
2
c)
−
1
-1
−
1
d)
3
3
3
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