Find the curve in which the subtangent is always bisected at the origin.

The equation of curve passing through (1,1) in which the subtangent is always bisected at the origin is.

Find the eqution of the curve in which the portion of the tangent between the coordinate axes is bisected at the point of contact.

The family of curves in which the subtangent at any point to any curve is double the abscissa is given by

Find the equation of curves for which the cartesian subtangent varies as the abscissa.

Find the family of curves, the subtangent at any point of which is the arithmetic mean of the co-ordinate point of tangency.

Find the family of curves,the subtangent at any point of which is the arithmetic mean of the co-ordinate point of tangency.

Find the family of curves, the subtangent at any point of which is the arithmetic mean of the co-ordinate point of tangency.