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COMEDK2015MathematicsArea Under Curves

The area in square units of the region bounded by y²=9 x and y=3 x is

Options

  1. A2
  2. B1 4
  3. C1 2
  4. D1

Correct answer

C. 1 2

Step-by-step solution

Intersecting points of y²=9 x and y=3 x is (0,0) and (1,3) . aligned Hequired area &= ₀¹( 9 x -3 x) d x &=3 ₀¹( x -x) d x=3 [ x^ 3 / 2 3 / 2 - x² 2 ]₀¹ &=3 ( 2 3 - 1 2 )=3 ( 1 6 )= 1 2 squnit aligned

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