Prove that the locus of the point of intersection of tangents to the parabola which…

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

Problem

Prove that the locus of the point of intersection of tangents to the parabola y2=4axy^2=4ax which meet at an angle α\alpha is (x+a)2tan⁡2α=y2−4ax(x+a)^2\tan^2\alpha=y^2-4ax.

Related theory

Browse the problem library