Question

At any point of a curve (sub tangent) (sub normal) is equal to the square of the

Answer 1

(sub tangent) (sub normal) is equal to the square of the

If $p(x,y)$ is any point on the curve, then at point $p$ , the subtangent is given by $\left(\frac{y}{y_1}\right)$ and subnormal is given by $y{y}_1$

Subtangent $\times$ subnormal $=\left(\frac{y}{y_1}\right)\times y{y}_1=y^2$ square of ordinate of the point $p$

Hence (sub tangent) (sub normal) is equal to the square of the ordinate of point $p$