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 curve for which any tangent intersects the y-axis at the point equidistant from the point oftangency and the origin.

For the curve y=4x^3-2x^5 find all points at which the tangent passes through the origin.

For the curve y=4x^(3)-2x^(5) find all the points at which the tangent passes through the origin.

Find the coordinates of the points on the curve y=x^2+3x+4 , the tangents at which pass through the origin.

Find the coordinates of the points on the curve y=x^(2)+3x+4, the tangents at which pass through the origin.

The equation of the curve in which the portion of the tangent included between the coordinate axes is bisected at the point of contact, is

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

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.