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The region represented by |x-y| le 2 and...

The region represented by `|x-y| le 2` and `|x+y| le 2` is bounded by a

A

rhombus of side lengths `2` units

B

rhombus of area `8sqrt(2)` sq units

C

square of side length `2sqrt(2)` units

D

square of area `16` sq units

Text Solution

Verified by Experts

The given inequalities are
`|x-y| le 2` and `|x+y| le 2`.
On drawing , the above inequalities, we get a square

Now, the area of shaded region is equal to the area of a square having side length `sqrt((2-o)^(2)+(0-2)^(2))=2sqrt(2)`units.
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