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

Find the equation of the curve in which the subnormal varies as the square of the ordinate.

Find the equation of the curve in which the subnormal varies as the square of the ordinate.

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.

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

For the curve y = 4x^3-2x^5 , find all those 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 curve for which the length of normal is equal to the radius vector.

Find the curves for which the length of normal is equal to the radius vector.

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