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NDA2018MathematicsApplication of DerivativesActual

Paragraph: Three sides of a trapezium are each equal to 6 cm . Let (0, 2 ) be the angle between a pair of adjacent sides. Question: What is the maximum area of the trapezium?

Options

  1. A36 3 ~cm ^2
  2. B30 3 ~cm ^2
  3. C27 3 ~cm ^2
  4. D24 3 ~cm ^2

Correct answer

C. 27 3 ~cm ^2

Step-by-step solution

aligned & Area =(6+x) 36-x^2 & =(6+3) 36-3^2 =9 36-9 =9 27 & =9 9 3 =27 3 aligned

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