A normal is drawn at P(x, y) on a curve passing through (3, 3). If the sum of reciprocals of x, y intercepts of normal at P is 1, then the radius of director circle of the curve is

Find the equation of the curve passing through the point, (5,4) if the sum of reciprocal of the intercepts of the normal drawn at any point P(x,y) on it is 1.

The equation of a curve passing through (1,0) for which the product of the abscissa of a point P and the intercept made by a normal at P on the x-axis equal twice the square of the radius vector of the point P is

A normal is drawn at a point P(x,y) on a curve.It meets the x-axis and thedus ofthe director such that (x intercept) ^(-1)+(y- intercept) ^(-1)=1, where O is origin,the curve passing through (3,3).

The normal to a given curve at each point (x,y) on the curve passes through the point (3,0) .If the curve contains the point (3,4) find its equation.

A normal is drawn at a point P(x,y) of a curve It meets the x-axis at Q If PQ is of constant length k such a curve passing through (0,k) is

Let C be a curve y=f(x) passing through M(-sqrt(3),1) such that the y-intercept of the normal at any point P(x,y) on the curve C is equal to the distance of P from the origin.Find curve C