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Problem
Problem
Statement I If there exist points on the circle
x
2
+
y
2
=
λ
2
x^2 + y^2 = \lambda^2
x
2
+
y
2
=
λ
2
from which two perpendicular tangents can be drawn to the parabola
y
2
=
2
x
y^2 = 2x
y
2
=
2
x
, then
λ
≥
1
2
\lambda \ge \frac{1}{2}
λ
≥
2
1
.
Statement II
Perpendicular tangents to the parabola meet at the directrix.
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