3. A curve has the equation
$$3 x ^ { 2 } - 2 x + x y + y ^ { 2 } - 11 = 0$$
The point \(P\) on the curve has coordinates \(( - 1,3 )\).
- Show that the normal to the curve at \(P\) has the equation \(y = 2 - x\).
- Find the coordinates of the point where the normal to the curve at \(P\) meets the curve again.
3. continued