question_answer

The region represented by \[|x-y|\le 2\]and \[|x+y|\,\le 2\]is bounded by a : [JEE Main 10-4-2019 Morning]

A) square of side length \[2\sqrt{2}\]units

B) rhombus of side length 2 units

C) square of area 16 sq, units

D) rhombus of area \[8\sqrt{2}\] sq. units

Correct Answer: A

Solution :

\[|x-y|\,\le 2\]and \[|x+y|\,\le 2\] Square whose side is\[2\sqrt{2}\]