JEE Main Question Paper 2012 (Available): Check Previous Year Question Paper with Solution PDF

JEE Main 2012 Questions

• 1.

  Match the LIST-I with LIST-II 
  
  Choose the correct answer from the options given below:

  • A–IV, B–III, C–II, D–I
    
  • A–II, B–I, C–IV, D–III
    
  • A–III, B–IV, C–I, D–II
    
  • A–III, B–I, C–IV, D–II
    
  View Solution

  ---

• 2.

  Which of the following resonating structures is the most stable?

  

  • Structure 1
  • Structure 2
  • Structure 3
  • Structure 4
  View Solution

  ---

• 3.

  A wave propagates whose electric field is given by \[ \vec{E} = 69 \sin(\omega t - kx)\,\hat{j}. \] Find the direction of the magnetic field.

  • \( \hat{k} \)
  • \( -\hat{k} \)
  • \( \dfrac{\hat{i}+\hat{j}}{\sqrt{2}} \)
  • \( \dfrac{\hat{i}-\hat{j}}{\sqrt{2}} \)
  View Solution

  ---

• 4.

  Let the set of all values of \( r \), for which the circles \( (x + 1)^2 + (y + 4)^2 = r^2 \) and \( x^2 + y^2 - 4x - 2y - 4 = 0 \) intersect at two distinct points be the interval \( (\alpha, \beta) \). Then \( \alpha\beta \) is equal to

  • 25
    
  • 21
    
  • 24
    
  • 20
    
  View Solution

  ---

• 5.

  If the domain of the function
  \[ f(x)=\sin^{-1}\!\left(\frac{5-x}{3+2x}\right)+\frac{1}{\log_e(10-x)} \]
  is \( (-\infty,\alpha] \cup [\beta,\gamma) - \{\delta\} \), then \( 6(\alpha+\beta+\gamma+\delta) \) is equal to
  

  • 68
    
  • 66
    
  • 70
    
  • 67
    
  View Solution