Solved papers for JEE Main & Advanced JEE Main Paper (Held On 11 April 2014)

done JEE Main Paper (Held On 11 April 2014) Total Questions - 3

• question_answer1) For the curve \[y=3\sin \theta \cos \theta ,x={{e}^{\theta }}\sin \theta ,\]\[0\le \theta \le \pi ,\]the tangent is parallel to x-axis when \[\theta \]is:   [JEE Main Online Paper ( Held On 11 Apirl  2014 )
  A)
  \[\frac{3\pi }{4}\]                                            
  done clear
  B)
  \[\frac{\pi }{2}\]
  done clear
  C)
  \[\frac{\pi }{4}\]              
  done clear
  D)
  \[\frac{\pi }{6}\]
  done clear
  View Answer play_arrow

• question_answer2) Two ships A and B are sailing straight away from a fixed point O along routes such that \[\angle AOB\] is always \[120{}^\circ \]. At a certain instance, OA = 8 km, OB = 6 km and the ship A is sailing at the rate of 20 km/hr while the ship B sailing at the rate of 30 km/hr. Then the distance between A and B is changing at the rate (in km/ hr):   [JEE Main Online Paper ( Held On 11 Apirl  2014 )
  A)
  \[\frac{260}{\sqrt{37}}\]              
  done clear
  B)
  \[\frac{260}{37}\]
  done clear
  C)
  \[\frac{80}{\sqrt{37}}\]                 
  done clear
  D)
  \[\frac{80}{37}\]
  done clear
  View Answer play_arrow

• question_answer3) The volume of the largest possible right circular cylinder that can be inscribed in a sphere of radius \[=\sqrt{3}\] is:
  A)
  \[\frac{4}{3}\sqrt{3}\pi \]                            
  done clear
  B)
  \[\frac{8}{3}\sqrt{3}\pi \]
  done clear
  C)
  \[4\pi \]               
  done clear
  D)
  \[2\pi \]
  done clear
  View Answer play_arrow