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Problem
Problem
Prove that the locus of the point of intersection of tangents to the parabola
y
2
=
4
a
x
y^2 = 4ax
y
2
=
4
a
x
which meet at an angle
α
\alpha
α
is
(
x
+
a
)
2
tan
2
α
=
y
2
−
4
a
x
(x + a)^2 \tan^2 \alpha = y^2 - 4ax
(
x
+
a
)
2
tan
2
α
=
y
2
−
4
a
x
.
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