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MHT CET202122 Sep 2021Morning ShiftMathematicsApplication of DerivativesActual

A rectangle of maximum area is inscribed in an ellipse x^2 25 + y^2 16 =1 , then its dimensions are

Options

  1. A4 2 , 6 2
  2. B2 , 5 2
  3. C4 2 , 5 2
  4. D4 2 , 2

Correct answer

C. 4 2 , 5 2

Step-by-step solution

Length of rectangle =10 and breadth of rectangle =8 Area of rectangle =(10 )(8 )=40( ) Maximum area will occur when 2 =1 aligned & 2 = 2 = 4 & P= ( 5 2 , 4 2 ) Dimensions of rectangle are 5 2 , 4 2 aligned

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