Question 9 - Ex 8.1 - Chapter 8 Class 12 Application of Integrals

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Question 9 Find the area of the region bounded by the curve 2=4 and the line =3 . Let AB represents the line =3 and AOB represent the curve 2 =4 Area of AOBC = 2 [Area of AOC] = 2 0 3 . We know that 2 =4 = 4 = 2 As AOC is in 1st Quadrant =2 Area of AOBC = 2 0 3 . = 2 0 3 2 = 4 0 3 = 4 0 3 1 2 = 4 1 2 +1 1 2 +1 0 3 = 4.2 3 3 2 0 3 = 8 3 3 3 2 0 = 8 3 3 3 2 0 = 8 3 3 3 = 8 3 3 3 3 = 8 3 3 3 = 8 3 Required Area = square units