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Mathematics
Problem
Consider the curve
x
=
t
2
−
2
t
x=t^{2}-2t
x
=
t
2
−
2
t
and
y
=
t
3
−
3
t
2
y=t^{3}-3t^{2}
y
=
t
3
−
3
t
2
. Which of the following ordered pairs of parameter values gives two distinct points on the curve whose tangent lines are parallel? a)
(
−
1
,
3
)
(-1,3)
(
−
1
,
3
)
b)
(
0
,
2
)
(0,2)
(
0
,
2
)
c)
(
−
2
,
4
)
(-2,4)
(
−
2
,
4
)
d)
(
0
,
1
)
(0,1)
(
0
,
1
)
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