JEE Main Question Paper 2019 (Available): Check Previous Year Question Paper with Solution PDF (2024-2014)

JEE Main 2019 Questions

• 1.

  The net current flowing in the given circuit is ___ A.

  

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• 2.

  A force of 49 N acts tangentially at the highest point of a sphere (solid of mass 20 kg) kept on a rough horizontal plane. If the sphere rolls without slipping, then the acceleration of the center of the sphere is:

  • \( 0.25 \, \text{m/s}^2 \)
    
  • \( 2.5 \, \text{m/s}^2 \)
    
  • \( 3.5 \, \text{m/s}^2 \)
    
  • \( 0.35 \, \text{m/s}^2 \)
    
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• 3.

  If the equation \( a(b - c)x^2 + b(c - a)x + c(a - b) = 0 \) has equal roots, where \( a + c = 15 \) and \( b = \frac{36}{5} \), then \( a^2 + c^2 \) is equal to               .

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• 4.

  The value of \( (\sin 70^\circ)(\cot 10^\circ \cot 70^\circ - 1) \) is:

  • \( 1 \)
    
  • \( 0 \)
    
  • \( 3/2 \)
    
  • \( 2/3 \)
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• 5.

  A body of mass 100 g is moving in a circular path of radius 2 m on a vertical plane as shown in the figure. The velocity of the body at point A is 10 m/s. The ratio of its kinetic energies at point B and C is: (Take acceleration due to gravity as 10 m/s\(^2\)) 
  

  • \( \frac{3 + \sqrt{3}}{2} \)
    
  • \( \frac{2 + \sqrt{3}}{3} \)
    
  • \( \frac{3 - \sqrt{2}}{2} \)
    
  • \( \frac{2 + \sqrt{2}}{3} \)
    
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