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Mathematics
Mathematics
Problem
The parabola
y
2
=
4
a
x
y^{2}=4a x
y
2
=
4
a
x
is cut at the point whose
y
y
y
-coordinate is
6
6
6
. Determine the value of
a
a
a
if the tangent at that point is parallel to the line
5
x
−
2
y
+
3
=
0
5x-2y+3=0
5
x
−
2
y
+
3
=
0
.
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