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Question

Mathematics Question on applications of integrals

Area of the region bounded by y=xy = |x| and y=x+2y = -|x| + 2 is

A

4 s units

B

3 s units

C

2 s units

D

1 s units

Answer

2 s units

Explanation

Solution

In figure, B=(0,2)OB=2B=(0,2) \Rightarrow O B=2
and OABCO A B C is a square.

So, side of length =2=\sqrt{2} units
\therefore Area of OABC=2O A B C=2 sq units