Let P=(h,k) be any point in the locus let x,y-axes be two perpendicular lines ∴ Distance from P(h,k) to X-axis =1 (given) |k|=1 Distance from P(h,k) to Y-axis =1⇒|h|=1 According to the question, |h|+|k|=l ∴ The locus of point (h,k) is |x|+|y|=1 ∴ It is a square