Find the number of distinct normals drawn to parabola `y^(2) = 4x` from the point (8, 4, `sqrt(2))`

The number of normals drawn to the parabola y^(2)=4x from the point (1,0) is

The number of normals drawn to the parabola y^(2)=4x from the point (1,0) is

The number of distinct normals draw through the point (8,4sqrt(2)) to the parabola y^(2)=4x are

The equation of the normal to the parabola y^(2)=8x at the point t is

Find the equations of the tangent and normal to the parabola y^(2) = 4ax at the point (at^(2) , 2at).

From a point (C, 0) three normals are drawn to the parabola y^(2) = x . Then