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JEE Main202622 January 2026Morning ShiftMathematicsArea Under CurvesActual

Let the line x=-1 divide the area of the region (x, y): 1+x² y 3-x in the ratio m: n, gcd (m, n)=1 . Then m+n is equal to

Options

  1. A27
  2. B25
  3. C28
  4. D26

Correct answer

A. 27

Step-by-step solution

m n = _ -1 ¹ [(3-x) - (1+x^2)] , dx _ -2 ¹ [(3-x) - (1+x^2)] , dx = 20 7 m + n = 20 + 7 = 27

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