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)`.

A normal is drawn at a point P(x,y) of a curve.It meets the x-axis and the y-axis in point A AND B, respectively,such that (1)/(OA)+(1)/(OB)=1, where O is the origin.Find the equation of such a curve passing through (5,4)

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

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

A line is drawn from a point P(x, y) on the curve y = f(x), making an angle with the x-axis which is supplementary to the one made by the tangent to the curve at P(x, y). The line meets the x-axis at A. Another line perpendicular to it drawn from P(x, y) meeting the y-axis at B. If OA = OB, where O is the origin, theequation of all curves which pass through (1, 1) is

A normal at P(x,y) on a curve meets the x- axis at Q and N is the foot of the ordinate at P* If NQ=(x(1+y^(2)))/(1+x^(2)), then the equation of curve given that it passes through the point (3,1) is

Find the intercept made by the line y=x on the curve y=x^(3)