CBSE Class 12 Basic Concepts Of Health & Disease And Medical Terminology Question Paper 2019 with Answer Key (February 18)

CBSE CLASS XII Questions

• 1.

  For \[ f(x)=x+\frac{1}{x}, \quad x\neq 0. \]

  • local maximum value is 2
    
  • local minimum value is \( -2 \)
    
  • local maximum value is \( -2 \)
    
  • local minimum value \( < \) local maximum value
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• 2.

  Sports car racing is a form of motorsport which uses sports car prototypes.The competition is held on special tracks designed in various shapes. 

  

  The equation of a sports car racing track is given as: \[ f(x)= \begin{cases} x^4-4x^2+4, & 0\leq x<3,\\ x^2+40, & x\geq 3 \end{cases} \] Based on this information:

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• 3.

  If \[ \frac{d}{dx}(F(x))=\frac{1}{e^x+1}, \] then find \(F(x)\), given that \[ F(0)=\log\left(\frac{1}{2}\right). \]

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• 4.

  Aashree and Manvi were partners in a firm and their capitals were ₹ 6,00,000 and ₹ 4,00,000 respectively. Normal rate of return in a similar business was 15% and the goodwill of the firm was valued at ₹ 3,00,000. If goodwill was calculated at three years purchase of super profits, the average profits of the firm were :

  • ₹ 1,00,000
    
  • ₹ 45,000
    
  • ₹ 2,50,000
    
  • ₹ 1,50,000
    
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• 5.

  Find: \[ \int \frac{x^2}{(x^2+9)(x^2+16)}\,dx \]

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• 6.

  For a square matrix \(A\), \[ (3A)^{-1}= \]

  • \( 3A^{-1} \)
    
  • \( 9A^{-1} \)
    
  • \( \frac{1}{3} A^{-1} \)
    
  • \( \frac{1}{9} A^{-1} \)
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