Question 30

Let S be the set of all points (x, y) in the x-y plane such that $$\mid x \mid + \mid y \mid \leq 2$$ and $$\mid x \mid \geq 1.$$ Then, the area, in square units, of the region represented by S equals

Correct Answer: 2

Solution

Sum of the area of region I and II is the required area.

Now, required area = $$\ 4\times\frac{\ 1}{2}\times\ 1\times\ 1$$ = 2

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