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AP EAMCET2001MathematicsArea Under Curves

The area (in square units) of the region bounded by x^2=8 y, x=4 and X -axis, is

Options

  1. A2 3
  2. B4 3
  3. C8 3
  4. D10 3

Correct answer

C. 8 3

Step-by-step solution

Given equations are aligned x^2 & =8 y x & =4 y & =0 aligned and On solving Eqs. (i) and (ii), we get (4,2) The required area = ₀^4 y d x= ₀^4 x^2 8 d x= [ x^3 24 ]₀^4= 64 24 = 8 3 The required area = 8 3 sq units

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