[" The equation of the curve in which "],[" the perpendicular from the origin "],[" upon the tangent is equal to the "],[" abscissa of the point of contact is a "]

Find the equation of the curve in which the perpendicular from the origin on any tangent is equal to the abscissa of the point of contact.

Find the equation of the curve in which the perpendicular from the origin on any tangent is equal to the abscissa of the point of contact.

There is curve in which the length of the perpendicular from the orgin to tangent at any point is equal to abscissa of that point. Then,

There is curve in which the length of the perpendicular from the orgin to tangent at any point is equal to abscissa of that point. Then,

There is curve in which the length of the perpendicular from the orgin to tangent at any point is equal to abscissa of that point. Then,

The curve whose sub tangent is twice the abscissa of the point of contact passing through (1,2) is

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

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

The perpendicular from the origin to the tangent at any point on a curve is equal to the abscissa of the point of contact. Find the equation of the curve satisfying the above condition and which passes through (1, 1).