Statement I: If there exist points on the circle from which two perpendicular…

MATHEMATICS · Subjective · CBSE · Mathematics · Conic Sections · Conic Sections

Problem

Statement I: If there exist points on the circle

x^2+y^2=\lambda^2

from which two perpendicular tangents can be drawn to the parabola

y^2=2x

, then

\lambda\geq\frac{1}{2}

. Statement II: Perpendicular tangents to the parabola meet on the directrix.