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MHT CET202617 April 2026Evening ShiftMathematicsArea Under CurvesActual

The area of the region bounded by curves y = x, y = x and the lines x = 0 , x = 4 is

Options

  1. A2 2 - 1
  2. B2 - 1
  3. C2 - 2
  4. D1 - 2 2

Correct answer

B. 2 - 1

Step-by-step solution

The required area is given by the integral of the upper curve minus the lower curve between the given limits. In the interval x [0, 4 ] , x x . Area = ₀^ /4 ( x - x) dx = [ x + x]₀^ /4 = ( 4 + 4 ) - ( 0 + 0) = ( 1 2 + 1 2 ) - (0 + 1) = 2 - 1 Answer: 2 - 1

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