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State True or False. The area of the region bounded by $$\sqrt{x^2} + \sqrt{y^2} = 1$$ is $$\frac{1}{2}$$ sq. units
Correct Answer: False
The curve is $$|x| + |y| = 1$$, a square with vertices $$(\pm 1, 0)$$ and $$(0, \pm 1)$$. Its diagonals are both 2, so its area is $$\frac{2 \times 2}{2} = 2$$ sq. units, not $$\frac{1}{2}$$. The statement is False.
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