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Question:

The region represented by |x-y| ≤ 2 and |x+y| ≤ 2 is bounded by a:

Rhombus of area 8√2 sq.units

Square of side length 2√2 units

Square of area 16 sq units

Rhombus of side length 2 units

Solution:

The correct option is B. Square of side length 2√2 units
|x-y| ≤ 2 and |x+y| ≤ 2
⇒ x-y ≤ 2 or x-y ≥ -2 and x+y ≤ 2 and x+y ≥ -2;
After plotting them on the graph the common region is
Square whose side is 2√2