Definite Integration Question 32
Question: The area bounded by the curves $ y=|x|-1 $ and $ y=-|x|+1 $ is
[IIT Screening 2002]
Options:
A) 1
B) 2
C) $ 2\sqrt{2} $
D) 4
Show Answer
Answer:
Correct Answer: B
Solution:
The lines are $ y=x-1,x\ge 0 $
$ y=-x-1,x<0 $ , $ y=-x+1,x\ge 0 $ , $ y=x+1,x<0 $
Area $ =4\times ( \frac{1}{2}\times 1\times 1 )=2 $ .