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Mathematics
Mathematics
Problem
A line passing through the focus of the parabola
y
2
=
4
a
x
y^{2} = 4ax
y
2
=
4
a
x
intersects the parabola at points
P
(
t
1
)
P(t_{1})
P
(
t
1
)
and
Q
(
t
2
)
Q(t_{2})
Q
(
t
2
)
. If the slope of the normal at
P
P
P
is
2
2
2
, determine the slope of the normal at
Q
Q
Q
.
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