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NDA 2018
Exam
NDA
Year
2018
Subject
Mathematics
Chapter
Application of Derivatives

NDA 2018 · Mathematics · Application of Derivatives

Paragraph: Three sides of a trapezium are each equal to 6 cm. Let α...

Paragraph: Three sides of a trapezium are each equal to 6 cm. Let \alpha \in \left(0, \frac{\pi}{2}\right)be the angle between a pair of adjacent sides.
Question: If the area of the trapezium is maximum, what is the length of the fourth side?

Options

  1. A8 cm
  2. B9 cm
  3. C10 cm
  4. D12 cm

Correct answer

D. 12 cm

Step-by-step solution

Fourth side, DC=x+6+xD C=x+6+x=3+6+3=12.\begin{aligned} & =3+6+3 \\ & =12. \end{aligned}$
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