TS EAMCET 2023 Question Paper May 10 Shift 1: Download BiPC Question Paper with Solutions PDF

TS EAMCET Questions

• 1.

  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
  View Solution

  ---

• 2.

  The positive value of 'a' for which the system of linear homogeneous equations \( x+ay+z=0 \), \( ax+2y-z=0 \), \( 2x+3y+z=0 \) has non-trivial solutions is
  

  • 0
    
  • 1
    
  • \( \frac{1+\sqrt{5}}{2} \)
    
  • \( \frac{\sqrt{5}-1}{2} \)
    
  View Solution

  ---

• 3.

  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)
    
  View Solution

  ---

• 4.

  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

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

  ---

• 5.

  If \( \vec{a} = \vec{i}-2\vec{j}+2\vec{k} \), \( \vec{b} = 6\vec{i}+3\vec{j}-2\vec{k} \), \( \vec{c} = -4\vec{i}+3\vec{j}+12\vec{k} \) are three vectors then the value of the expression is...
  

  • 13
    
  • 130
    
  • 6
    
  • \(10\sqrt{3}\)
    
  View Solution

  ---

• 6.

  Identify A, B, C and D in the diagram of E.coli cloning vector of pBR322:
  

  

  • A-Hind I, B-ECoR1, C-ampR, D-Ori
  • A-Hind I, B-BamHI, C-KanR, D-ampR
  • A-BamHI, B-Pst I, C-Ori, D-ampR
  • A-ECoR1, B-BamHI, C-ampR, D-Ori
    
  View Solution