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NDA2023MathematicsApplication of DerivativesActual

Paragraph: Let x= ^2 A+ A+1 A where 0 A 2 Question: What is the minimum value of x ?

Options

  1. A1
  2. B2
  3. C3
  4. D4

Correct answer

C. 3

Step-by-step solution

x= ^2 A+ A+1 A = A+ 1 A +1 Using AM GM A+ 1 A 2 ( A) ( 1 A ) A+ 1 A 2 Minimum value of A+ 1 A =2x_ minimum =2+1=3

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