The line x/3+y/3=1 meets the y-and x-axis at A and B, respectively. A square ABCD is constructed on the line segment AB way from the origin. The coordinates of the vertex of the square farthest from the origin are

The coordinates of  A are 0,4 and those of B are 3,0 BC=AB=32+42=5or BL=BCsinθ and CL=BCcosθor BL=5×35=3CL=5×35=3Similarly, MD=4 and AM=3. so, the coordinates of  C are OB+BL,CL≡7,3 and those of D are MD,OA+AM≡4,7. The coordinates of the vertex farthest from the origin are 4,7.