AP PGECET 2021 Question Paper: Download Question Paper and Answer Key PDFs

AP PGECET 2021 Questions

• 1.

  Suppose \( R_1 \) and \( R_2 \) are reflexive relations on a set \( A \). Which of the following statements is correct?
  

  • \( R_1 \cap R_2 \) is reflexive and \( R_1 \cup R_2 \) is irreflexive
    
  • \( R_1 \cap R_2 \) is irreflexive and \( R_1 \cup R_2 \) is reflexive
    
  • Both \( R_1 \cap R_2 \) and \( R_1 \cup R_2 \) are irreflexive
    
  • Both \( R_1 \cap R_2 \) and \( R_1 \cup R_2 \) are reflexive
    
  View Solution

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• 2.

  Determine the value of $\lambda$ and $\mu$ for which the system of equations
  $x + 2y + z = 6$,
  $x + 4y + 3z = 10$,
  $2x + 4y + \lambda z = \mu$
  has a unique solution.

  • $\lambda = 2$, $\mu = 12$
    
  • $\lambda = 2$, $\mu \neq 12$
    
  • $\lambda \neq 2$, $\mu \neq 12$
    
  • for any $\lambda$ and any $\mu$
  View Solution

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• 3.

  For a two-port network to be reciprocal, it is necessary that ……..

  • \( z_{11} = z_{22} \) and \( y_{21} = y_{12} \)

  • \( z_{11} = z_{22} \) and \( AD - BC = 0 \)

  • \( h_{11} = -h_{12} \) and \( AD - BC = 0 \)

  • \( y_{12} = y_{21} \) and \( h_{21} = -h_{12} \)

  View Solution

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• 4.

  Which strategy can be used to minimize the shear damage in bioreactors used for animal cell culture?
  

  • Using spargers
    
  • Increasing agitation rate
    
  • Adding Pluronic F-68
    
  • Increasing temperature
    
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• 5.

  Let \( z \) be a complex variable and \( C : |z| = 3 \) be a circle in the complex plane. Then,

  \[ \oint_C \frac{z^2}{(z - 1)^2(z + 2)} \, dz = \]

  • \( \pi i \)
    
  • \( 2\pi i \)
    
  • 0
    
  • \( \pi(2 + i) \)
    
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