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MHT CET202015 Oct 2020Morning ShiftMathematicsArea Under CurvesActual

The area bounded by the parabola y²=16 x and its latus - rectum in the first quadrant is

Options

  1. A128 sq. units
  2. B64 3 sq. units
  3. C128 3 sq. units
  4. D64 sq. units

Correct answer

B. 64 3 sq. units

Step-by-step solution

We have parabola y²=16 x 4 a=16 a=4 . Hence coordinates of end points of latus rectum are (4, 8) Required area is shaded. aligned Area &=4 ₀⁴ x dx =4 [ x^ 3 2 3 2 ]₀⁴ &=4 2 3 [4^ 3 2 -0 ]=4 2 3 8= 64 3 sq. units aligned

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