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Question
Find the area of the region bounded by the parabola y = x2 and y = |x| .
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Solution
The area bounded by the parabola, x2 = y,and the line, y = |x| , can be represented as
The given area is symmetrical about y-axis.
∴ Area OACO = Area ODBO
The point of intersection of parabola, x2 = y, and line, y = x, is A (1, 1).
Area of OACO = Area ΔOAM – Area OMACO
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