BITSAT 2026 April 19 Shift 1 Question Paper: Download Answer Key with Solutions PDF

BITSAT Questions

• 1.

  The equation of a plane passing through three non-collinear points is determined using:
  

  • Vector form
    
  • Determinant method
    
  • Cartesian equation
    
  • All of the above
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• 2.

  The area of the region bounded by the curves \( x = y^2 - 2 \) and \( x = y \) is
  

  • \( \frac{9}{4} \)
    
  • 9
    
  • \( \frac{9}{2} \)
    
  • \( \frac{9}{7} \)
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• 3.

  If \( \vec{a} = 2\hat{i} + \hat{j} + 2\hat{k} \), then the value of \( |\hat{i} \times (\vec{a} \times \hat{i})|^2 + |\hat{j} \times (\vec{a} \times \hat{j})|^2 + |\hat{k} \times (\vec{a} \times \hat{k})|^2 \) is equal to
  

  • 17
    
  • 18
    
  • 19
    
  • 20
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• 4.

  How many moles of oxygen are required to completely combust 1 mole of propane (C\(_3\)H\(_8\))?
  

  • 4 moles
    
  • 5 moles
    
  • 6 moles
    
  • 3 moles
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• 5.

  The magnitude of projection of line joining (3, 4, 5) and (4, 6, 3) on the line joining (−1, 2, 4) and (1, 0, 5) is
  

  • \( \frac{4}{3} \)
    
  • \( \frac{2}{3} \)
    
  • \( \frac{8}{3} \)
    
  • \( \frac{1}{3} \)
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• 6.

  Let \( A = \begin{bmatrix} 1 & 0 & 0 0 & 1 & 0 3 & 2 & 1 \end{bmatrix} \). Find \( A^{100} \).
  

  • Same as A
    
  • Identity matrix
    
  • \( \begin{bmatrix} 1 & 0 & 0 0 & 1 & 0 300 & 200 & 1 \end{bmatrix} \)
    
  • \( \begin{bmatrix} 1 & 0 & 0 0 & 1 & 0 100 & 200 & 1 \end{bmatrix} \)
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