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JEE Main202529 Jan 2025Evening ShiftMathematicsArea Under CurvesActual

Let the area enclosed between the curves |y|=1-x^2 and x^2+y^2=1 be . If 9 = + ; , are integers, then the value of | - | equals.

Options

  1. A27
  2. B33
  3. C15
  4. D18

Correct answer

B. 33

Step-by-step solution

aligned & Required area = -4 ₀^1 (1-x^2 ) d x & = -4 [x- x^3 3 ]₀^1 & = -4 2 3 = - 8 3 & = - 8 3 & 9 =9 -24 =9, =-24 & | - |=|9+24|=33 aligned

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