For points $\mathrm{P}\equiv \left({\mathrm{x}}_1,{\mathrm{y}}_1\right)$ and $\mathrm{Q}\equiv \left({\mathrm{x}}_2,{\mathrm{y}}_2\right)$of the coordinate plane, a new distance d(P, Q) is defined by $\mathrm{d}(\mathrm{P},\mathrm{Q})=\left|{\mathrm{x}}_1-{\mathrm{x}}_2\right|+\left|{\mathrm{y}}_1-{\mathrm{y}}_2\right|$
Let $\mathrm{O}\equiv (0,0)$ and $\mathrm{A}\equiv (3,2)$. Consider the set of points P in the first quadrant which are equidistant (with respect to the new distance) from O and A