The region represented by \left | x-y \right |\leq 2 and \left | x+y \right |\leq 2 is 

bounded by a :

  • Option 1)

    square of side length 2\sqrt2 units

  • Option 2)

    rhombus of side length 2 units

  • Option 3)

    square of area 16 sq. units

  • Option 4)

    rhombus of area 8\sqrt2 sq. units

 

Answers (1)
V Vakul

region bounded by \left | x-y \right |\leq 2 and \left | x+y \right |\leq 2

Graph of this is 

 

Area = 8

side = 2\sqrt2   

option (1) is correct.


Option 1)

square of side length 2\sqrt2 units

Option 2)

rhombus of side length 2 units

Option 3)

square of area 16 sq. units

Option 4)

rhombus of area 8\sqrt2 sq. units

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