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MHT CET202019 Oct 2020Morning ShiftMathematicsArea Under CurvesActual

The area of the region bounded by the parabola x²=16 y, y=1, y=4 and the Y-axis lying in the first quartrant is

Options

  1. A55 3 sq. units
  2. B56 3 sq. units
  3. C52 3 sq. units
  4. D53 3 sq. units

Correct answer

B. 56 3 sq. units

Step-by-step solution

(A) The equation of curve is x²=16 y x=4 y Required area is shaded. aligned A &= ₁⁴ 4 y d y=4 ₁⁴ y^ 1 2 d y=4 [ y^ 3 2 ( 3 2 ) ]₁⁴ &= 8 3 (4 4 -1)= 8 7 3 = 56 3 aligned

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