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The area bounded by the three curves $|x + y| = 1, |x| = 1$, and $|y| = 1$, is equal to

1. 3
2. 1

2.3

$\left | x+y \right | =1$  here one first presumes x+y=1 and x+y= - 1

$\left | x \right | =1$ here x=1 and x= - 1

$\left | y \right | =1$ here y=1 and y= - 1

Now plotting the curves

The area of the shaded portion is the area bounded by the three curves which is 2 full squares and 2 half squares or triangles and this would add up to 3 sq cms (2 + 1/2 + 1/2)

Hence Option B is correct.

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