If the distance of any point ( x, y) from the origin is defined as d (x, y) = max {I x I, I y I} , then the locus of the point (x, y), where d (x, y) =1, is

We have, d(x,y)=1⇒ max{|x|,|y|}=1⇒ |x|≤1 and |y|≤1⇒ −1≤x≤1 and −1≤y≤1Locus of (x, y) is the square having its vertices at (1, 1), (-1, 1), (-1, -1) and (1, -1).