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Find the Area of the Region Bounded by the Parabola Y = X2 and Y = X . - Mathematics

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, x, is A (1, 1).

Area of OACO = Area ΔOAM – Area OMACO

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APPEARS IN

NCERT Class 12 Maths
Chapter 8 Application of Integrals
Q 9 | Page 366
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