GUJCET 2007 Mathematics Question Paper with Answer Key PDFs

GUJCET Questions

• 1.

  Probability of getting a head in a fair coin toss:
  

  • 0
    
  • 1
    
  • 1/2
    
  • 2
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• 2.

  Direction ratios of x-axis are:
  

  • (0,1,0)
    
  • (1,0,0)
    
  • (0,0,1)
    
  • (1,1,1)
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• 3.

  If $\tan \theta = 1$, then $\theta = $:
  

  • 30°
    
  • 45°
    
  • 60°
    
  • 90°
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• 4.

  The value of the determinant $\begin{vmatrix} 1 & 2 \\ 3 & 4 \end{vmatrix}$ is:

  • 10
    
  • -2
    
  • 2
    
  • 0
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• 5.

  If $f(x) = x^2 + 3x$, then $f'(x)$ is:
  

  • $2x + 3$
    
  • $x + 3$
    
  • $2x$
    
  • $x^2$
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• 6.

  If $a + b = 5$ and $ab = 6$, find $a^2 + b^2$:
  

  • 25
    
  • 13
    
  • 11
    
  • 17
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