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Question 9:
Find the area of the region bounded by the parabola y = x2 and ![]()
The area bounded by the parabola, x2 = y,and the line,
, 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
Area of ΔOAM

Area of OMACO 
⇒ Area of OACO = Area of ΔOAM – Area of OMACO

Therefore, required area =
units