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

Find the equation of the normal to curve x^2=4y which passes through the point (1, 2).

Find the equation of the normal to curve x^2=4y which passes through the point (1, 2).

Find the equation of the normal to the curve 2y=x^2 , which passes through the point (2,1).

Find the equation of the normal to the curve x^2=4y which passes through the point (1, 2).

Equation of the normal to the curve y=-sqrt(x)+2 at the point (1,1)

If slope of the tangent at the point (x, y) on the curve is (y-1)/(x^(2)+x) , then the equation of the curve passing through M(1, 0) is :

A normal is drawn at a point P(x,y) of a curve. It meets the x-axis at Q such that PQ is of constant length k . Find coordinates of q also find equation of curve

For the differential equation x y(dy)/(dx)=(x+2)(y+2) , find the solution curve passing through the point (1, 1) .

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/(O A)+1/(O B) =1, where O is the origin. Find the equation of such a curve passing through (5, 4)

Tangent at P(2,8) on the curve y=x^(3) meets the curve again at Q. Find coordinates of Q.