A curve is such that the length of perpendicular from origin on the tangent at any point `P` of the
Channel: Doubtnut
Date: 2020-04-12

A curve is such that the length of perpendicular from origin on the tangent at any point `P` of the curve is equal to the abscissa of `P`. Prove that the differential equation of the curve is `y^2-2xy dy/dx-x^2=0` and hence find the curve.