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MHT CET202013 Oct 2020Morning ShiftMathematicsArea Under CurvesActual

The area bounded by the parabola x²=4 y and the lines y=2, y=4 and Y -axis is

Options

  1. A4 3 (8-2 2 ) sq. units
  2. B8 3 (8-2 2 ) sq. units
  3. C8 3 (8+2 2 ) sq. units
  4. D(8-2 2 ) sq. units

Correct answer

B. 8 3 (8-2 2 ) sq. units

Step-by-step solution

Required area is shaded. aligned A &=2 ₂⁴(2 y ) d y &=4 ₂⁴ y^ 1 2 d y=4 [ y^ 3 2 ( 3 2 ) ]₂⁴= 8 3 [4 4 -2 2 ] &= 8 3 (8-2 2 ) aligned

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