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coordinate geometry

The area enclosed within the curve |X|+|Y|=1.

Please show the process of doing...........................................

Note by Aritra Nandy
3 years, 9 months ago

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by replacing x by -x and y by -y we get the same equation that means the curve is symmetric about x as well as y axis. considering the curve in first quadrant we get x+y=1 i.e. intercept of 1 unit length on both the axis . similarly tracing it in all quadrants we get a square with side length root2 . hence area of the curve bounded by it is 2 square units. Ramesh Goenka · 3 years, 9 months ago

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