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 length 2 units

B

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

C

square of area 16 sq. units

D

rhombus of area `8sqrt(2)` aq. Units.

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The correct Answer is:

B

Here it is given that `|x-y| le 2`………(1)
and `|x+4| le 2` …………(2)
Combinating 2

Square of side length `2sqrt(2)`

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