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MHT CET202016 Oct 2020Evening ShiftMathematicsArea Under CurvesActual

The area included between the parabolas y²=5 x and x²=5 y is

Options

  1. A25 7 sq. units
  2. B25 3 sq. units
  3. C25 4 sq. units
  4. D25 sq . units

Correct answer

B. 25 3 sq. units

Step-by-step solution

(C) Prabolas y²=5 x and x²=5 y intersect at x² 5 =5 x x^ * =5³ x x (x³-125 )=0 x=0.5 y=0,5 Let points of intersection be Q(0,0) and A(5.5) . Required area is shaded. Ares included becween the parabolas = 5 x - x 5 d x .= 5 x 3 - x³ 15 = 2 3 )( 5 )(5 5 )- 125 15 = 50 3 - 125 15 = 25 3

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