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,

The equation of curve in which portion of y- axis cutoff between origin and tangent varies as cube of abscissa of point of contact is

The curve in which the slope of the tangent at any point equal the ratio of the abscissa to the ordinate of the point is

Find the curve for which the intercept cut off by a tangent on x-axis is equal to four xx the ordinate of the point of contact.

Find the equation of the curve which is such that the area of the rectangle constructed on the abscissa of and the initial ordinate of the tangent at this point is a constanta =a^(2)

Find the curve for which the perpendicular from the foot of the ordinate to the tangent is of constant length.

The curve whose subnormal w.r.t any point is equal to the abscissa of that point is a

Find the equation of the curve which is such that the area of the rectangle constructed on the abscissa of any point and the intercept of the tangent at this point on the y-axis is equal to 4.

Find the equation of the curve such that the square of the intercept cut off by any tangent from the y-axis is equal to the product of the co-ordinate of the point of tangency.