Prove that the area of the triangle formed by the tangents drawn from to and their…

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

Problem

Prove that the area of the triangle formed by the tangents drawn from (x1,y1)(x_1,y_1) to y2=4axy^2=4ax and their chord of contact is (y12−4ax1)3/22a\frac{(y_1^2-4ax_1)^{3/2}}{2a}.

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