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JEE Main202228 Jun 2022Evening ShiftMathematicsArea Under CurvesActual

The area of the bounded region enclosed by the curve y = 3 - x - 1 2 - x + 1 and the x -axis is

Options

  1. A9 4
  2. B45 16
  3. C27 8
  4. D63 16

Correct answer

C. 27 8

Step-by-step solution

Plotting the graph of the function y = 3 - x + 1 - x - 1 2 and x -axis, we get Now applying the formula of area of trapezium which is 1 2 × height × sum of parallel sides we get, Required area of Trap A B C D = 1 2 × 3 2 × 3 + 3 2 = 27 8

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