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Using integration, find the area bounded by the lines x + 2y = 2, y - x = 1 and 2x + y = 7.

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Using integration, find the area bounded by the lines x + 2y = 2, y - x = 1 and 2x + y = 7.
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Given, x + 2y = 2 ...(i)
y – x = 1 ...(ii)
2x + y = 7 ...(iii)
On plotting these lines, we have

Area of required region

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