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 $ .