i)

Using the general equation of the parabola

and the given point , we can deduce .

ii)

Let be given by

The cartesian equation of the normal to the parabola is

.

Using the coordinates of to substitute in for ,

Which gives the equation of the normal to the parabola at the point .

Because we require to be on the normal, we can substitute into the equation and solve for .

After substitution and simplfication you will get the equation given to you in ii).

## Bookmarks