Hi I was struggling to this question, can anyone please help me :P
The curve $C$ has equation $2x^2+y^2=18$. Determine the coordinates of the four points on $C$ at which the normal passes through the point $(1,0)$.
I got the gradient of the normal to be: (I called the co-ordinates $a,b$)
$y = (b/2a)x+b/2$,
then I don't know how to continue, note i found this by differentiating,