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Black Book Advanced Problems in MathematicsMathematicsArea Under Curves

Paragraph: **:** Let f : A B , f(x) = x + a bx^2 + cx + 2 , where A represents domain set and B represents range set of function f(x) , a, b, c R , f(-1) = 0 and y = 1 is an asymptote of y = f(x) and y = g(x) is the inverse of f(x) . Area of region enclosed by asymptotes of curves y = f(x) and y = g(x) is:

Options

  1. A4
  2. B9
  3. C12
  4. D25

Correct answer

B. 9

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