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The area of the region \(\left\{(x, y): x^{2}+y^{2} \leq 1 \leq x+y\right\}\) is
(A) \(\frac{\pi^{2}}{2}\)
(B) \(\frac{\pi}{4}\)
(C) \(\frac{\pi}{4}-\frac{1}{2}\)
(D) \(\frac{\pi^{2}}{3}\)
Ans: (C)

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