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Find the area (in square units) of the region enclosed by the curve defined by |x + y| + |x - y| = 11.

1. 121
2. 144
3. 100
4. 169

Correct answer: 121

Solution

The relation |x + y| + |x - y| = 2*max(|x|, |y|) = 11 gives max(|x|, |y|) = 5.5, which is a square with side 11 centred at the origin. Its area is 11² = 121.

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