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Mathematics
Mathematics
Problem
Let
L
L
L
be the tangent line to the parabola
y
=
−
x
2
+
4
y = -x^{2} + 4
y
=
−
x
2
+
4
in the first quadrant. Let
A
A
A
and
B
B
B
be the points where
L
L
L
intersects the
x
x
x
-axis and
y
y
y
-axis respectively. Find the point of tangency
P
(
x
,
y
)
P(x, y)
P
(
x
,
y
)
such that the length of the segment
A
B
‾
\overline{AB}
A
B
is minimized.
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