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Question 15 : The area of the closed region bounded by the equation | x | + | y | = 2 in the two-dimensional plane is

- 4π
- 4
- 8
- 2π

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The area of the closed region bounded is given by the equation,

| x | + | y | = 2.

We can substitute x = 0 or y = 0.

The coordinates we obtain are as follows;

(2,2) , (-2,2) , (2,-2) and (-2,-2)

On joining these points you will get a square whose diagonal is 4 units. Therefore, the sides of the square will be 2√(2) and its area will be
2√(2) × 2√(2) = 8

The area of the closed region is 8 sq. units.

The question is **"The area of the closed region bounded by the equation | x | + | y | = 2 in the two-dimensional plane is" **

Choice C is the correct answer.

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