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

The normal lines to a given curve at each point pass through (2,0)dot The curve pass through (2,3) . Formulate the differntioal equation and hence find out the equation of the curve.

Find the equation of the curve which passes through the point (3,-4) and has the slope (2y)/x at any point (x , y) on it.

Find the gradient of the line passing through the point (2,8) and touching the curve y=x^3.

The number of normals to the curve 3y ^(3) =4x which passes through the point (0,1) is

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

A curve passes through the point (0,1) and the gradient at (x,y) on it is y(xy-1) . The equation of the curve is

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

A curve passes through the point (3, -4) and the slope of the tangent to the curve at any point (x, y) is (-x/y) .find the equation of the curve.

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).