Suppose we define the distance between two points {P}( {x}_{1}, {y}_{1}) and {Q}( {x}_{2}, {y}_{2}) as {d}( {P}, {Q})=\max .\{ |\; {x}_{2}- {x}_{1}|, |{y}_{2}- {y}_{1}|\} , then the area of the region bounded by the locus of a point P satisfying {d}( {P}, {A})=4 , where {A} is (1,2) is

Question

Suppose we define the distance between two points  {P}( {x}_{1}, {y}_{1}) and  {Q}( {x}_{2}, {y}_{2}) as  {d}( {P}, {Q})=\max .\{ |\; {x}_{2}- {x}_{1}|, |{y}_{2}- {y}_{1}|\} , then the area of the region bounded by the locus of a point P satisfying {d}( {P}, {A})=4 , where  {A} is (1,2) is

Examsnet · Accepted Answer

Correct Answer is :  64 sq. units

JEE Advanced 2020 Concept Recapitulation Test 2 Paper 1