JEE MAIN - Mathematics (2019 - 10th April Morning Slot - No. 8)
The region represented by| x – y | $$ \le $$ 2 and | x + y| $$ \le $$ 2 is bounded by a :
rhombus of area 8$$\sqrt 2 $$ sq. units
square of side length 2$$\sqrt 2 $$ units
square of area 16 sq. units
rhombus of side length 2 units
Explanation
$${C_1}{\rm{ }}:{\rm{ }}\left| {y{\rm{ }}-{\rm{ }}x} \right|{\rm{ }} \le {\rm{ }}2$$
$${C_2}{\rm{ }}:{\rm{ }}\left| {y{\rm{ + }}x} \right|{\rm{ }} \le {\rm{ }}2$$
Now region is square
_10th_April_Morning_Slot_en_8_2.png)
shown figure is square with side length 2$$\sqrt 2$$ .
$${C_2}{\rm{ }}:{\rm{ }}\left| {y{\rm{ + }}x} \right|{\rm{ }} \le {\rm{ }}2$$
Now region is square
shown figure is square with side length 2$$\sqrt 2$$ .
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