ocr: tot the PROBLEM origin. 10. Find the points on 3r2 - 2ry + 3y2 == 2 which are closest 10 Miimize x2+yz sotject 70 3x2-2xy +3y22z Solve 2x1-2X0:414-3, t (-2*+6411 13x2-2ry - T 3y2=2 2x=2 A06x-2Y) cnd 2y= - A6-2x+64) Adding these too: 2(x+y)2 z : 4A1XTY) Calel Xty0 or X-Y 38-2xy137: 8x2zZ Xzt2 1 1 Lacz X+yt0 So 422 A: 72 242216x-21) gives Xzy 34-24y4322 42-2 xzt V2 The Soluton CerC - - (tY)= (1,1),41,1), - (6,4),67,a) The W1 1IW 3 IM oli tance IS s cest (44)-(74, T1)
