Find the equation of the curve such that the portion of the x-axis cut off between the origin and the tangent art a point is twice the abscissa and which passes through the point (1,2).

Find the equation of the curve such that the portion of the x-axis cut off between the origin and the tangent at a point is twice the abscissa and which passes through the point (1,2).

A curve is such that the intercept of the x-axis cut off between the origin and the tangent at a point is twice the abscissa and which passes through the point (1, 2). If the ordinate of the point on the curve is 1/3 then the value of abscissa is :

The equation of the curve which is such that the portion of the axis of x cut off between the origin and tangent at any point is proportional to the ordinate of that point is

The equation of the curve lying in the first quadrant, such that the portion of the x - axis cut - off between the origin and the tangent at any point P is equal to the ordinate of P, is (where, c is an arbitrary constant)

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

Find the equation of tangents of the parabola y^2=12 x , which passes through the point (2, 5).

Find the equation of the curve through the point (1,0), if the slope of the tangent to the curve at any point (x,y) is (y-1)/(x^(2)+x)

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.

The equation of the parabola whose vertex is origin axis along x-axis and which passes through the point (-2,4) is

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