TS EAMCET 2023 Question Paper May 11 Shift 2: Download BiPC Question Paper with Solutions PDF

TS EAMCET Questions

• 1.

  If \( f(x) = x^{2}+bx+c \) and \( f(1+k) = f(1-k) \) \( \forall K \in \mathbb{R} \), for two real numbers b and c, then

  • \( f(1)<f(0)<f(-1) \)
    
  • \( f(-1)<f(0)<f(1) \)
    
  • \( f(0)<f(-1)<f(1) \)
    
  • \( f(0)<f(1)<f(-1) \)
    
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• 2.

  If \( x = \alpha, y = \beta, z = \gamma \) is the solution of the system of equations \( 2x+3y+z=-1 \), \( 3x+y+z=4 \), \( x-3y-2z=1 \), then the value of \( \beta \) is
  

  • -2
    
  • -1
    
  • 2
    
  • 1
    
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• 3.

  Match the following The correct answer is
  

  

  • A-IV, B-II, C-III, D-I
    
  • A-III, B-I, C-IV, D-II
    
  • A-III, B-II, C-IV, D-I
    
  • A-IV, B-I, C-II, D-III
    
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• 4.

  A horizontal force of 10 N is applied on a block of mass 1.5 kg which is initially at rest on a rough horizontal surface. The work done by the applied force in a time of 6 s from the beginning of the motion is (Acceleration due to gravity = 10 ms\(^{-2}\); the coefficient of kinetic friction between the block and the surface is 0.2)
  

  • 588 J
    
  • 360 J
    
  • 840 J
    
  • 420 J
    
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• 5.

  A, C are \( 3 \times 3 \) matrices. B, D are \( 3 \times 1 \) matrices. If \( AX=B \) has a unique solution and \( CX=D \) has an infinite number of solutions, then

  • rank of \( [A:D] = \text{rank of } [C:B] \)
  • rank of \( A = \text{rank of } C \)
  • rank of \( [A:B]<\text{rank of } [B:D] \)
  • rank of \( [A:D] \ge \text{rank of } [C:B] \)
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• 6.

  If \( f: \mathbb{R}-\{0\} \to \mathbb{R} \) is defined by \( 3f(x) + 4f\left(\frac{1}{x}\right) = \frac{2-x}{x} \), then \( f(3) = \)

  • 6
  • 12
  • 9
  • 3
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