TS EAMCET Question Paper 2024: Check Previous Year Question Paper with Solution PDF (2023-2015)

TS EAMCET 2024 Questions

• 1.

  If one of the roots of the equation \(6x^3 - 25x^2 + 2x + 8 = 0\) is an integer and \(\alpha>0\), \(\beta<0\) are the other two roots, then \( \frac{4}{\alpha} + \frac{1}{\beta} = \)
  

  • 0
    
  • 1
    
  • -2
    
  • 4
    
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• 2.

  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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• 3.

  If $D \subset \mathbb{R}$ and $f : D \to \mathbb{R}$ defined by $f(x) = \frac{x^2+x+a}{x^2-x+a}$ is a surjection then '$a$' lies in the interval

  • $\mathbb{R}$
  • $(0, \infty)$
  • $(-\infty, 0)$
  • $(0, 1)$
    
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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.

  The domain of the derivative of the function \( f(x) = \cos^{-1}(2x-5) - \sin^{-1}(x-2) \) is

  • [2,3]
    
  • \( (-\infty, 2] \cup [3, \infty) \)
    
  • \( (-\infty, 2) \cup (3, \infty) \)
    
  • (2,3)
    
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