Statement I: The ratio of the length of the tangent to the length of the normal is…

MATHEMATICS · Subjective · CBSE · Mathematics · Straight Lines · Straight Lines

Problem

Statement I: The ratio of the length of the tangent to the length of the normal is inversely proportional to the ordinate of the point of tangency on the curve y2=4axy^2=4ax. Statement II: The lengths of the normal and tangent to the curve y=f(x)y=f(x) are ∣y1+m2∣\left|y\sqrt{1+m^2}\right| and ∣y1+m2m∣\left|\frac{y\sqrt{1+m^2}}{m}\right|, respectively, where m=dydxm=\frac{dy}{dx}.

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