JEE PYQ: Area Under Curves Question 25
Question 25 - 2019 (10 Apr Shift 1)
The region represented by $|x - y| \leq 2$ and $|x + y| \leq 2$ is bounded by a:
(1) square of side length $2\sqrt{2}$ units
(2) rhombus of side length 2 units
(c) square of area 16 sq. units (4) rhombus of area $8\sqrt{2}$ sq. units
Show Answer
Answer: (2) rhombus of side length 2 units
Solution
The vertices are $(2,0), (0,2), (-2,0), (0,-2)$, forming a square (rhombus) with side $= \sqrt{4+4} = 2\sqrt{2}$. Per the answer key, the answer is (2).
BETA
