The normal to the curve 2x2+y2=12 at the point (2,2) cuts the curve again at

2x2+y2=12  or  dydx=−2xy Slope of normal at point A(2,2) is12  Also, point  B(−229,−29)  lies on the curve and slope of AB is 2−(−2/9)2−(−22/9)=12 Hence, the normal meets the curve again at point (−229,−29)