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JEE Main20246 Apr 2024Evening ShiftMathematicsArea Under CurvesActual

If the area of the region (x, y): a x^2 y 1 x , 1 x 2,0 < a < 1 is ( _ e 2 )- 1 7 then the value of 7 a -3 is equal to:

Options

  1. A0
  2. B2
  3. C-1
  4. D1

Correct answer

C. -1

Step-by-step solution

aligned & area ₁^2 ( 1 x - a x^2 ) d x & [ n x+ a x ]₁^2 & nn 2+ a 2 -a= _e 2- 1 7 & -a 2 =- 1 7 & a= 2 7 & 7 a=2 & 7 a-3=-1 aligned

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