Solved papers for JEE Main & Advanced JEE Main Online Paper (Held On 23 April 2013)

done JEE Main Online Paper (Held On 23 April 2013) Total Questions - 1

• question_answer1)                 Statement 1: The system of linear equations                 \[x+(\sin \alpha )y+(\cos \alpha )z=0\]                 \[x+(\cos \alpha )y+(\sin \alpha )z=0\]                 \[x-(\sin \alpha )y-(\cos \alpha )z=0\]                 has non-trivial solution of only one value of a lying in the interval \[0,\frac{\pi }{2}.\]                 Statement 2 : The equation in \[\alpha \]                 \[\left| \begin{matrix}    \cos \alpha  & \sin \alpha  & \cos \alpha   \\    \sin \alpha  & \cos \alpha  & \sin \alpha   \\    \cos \alpha  & -\sin \alpha  & -\cos \alpha   \\ \end{matrix} \right|=0\]                              has only one solution lying in the interval  \[\left( 0,\frac{\pi }{2}. \right)\]     JEE Main Online Paper ( Held On 23  April 2013 )
  A)
                   Statement 1 is true; Statement 2 is true; Statement 2 is not a correct explanation for Statement 1.
  done clear
  B)
                                          Statement 1 is true; Statement 2 is true; Statement 2 is a correct explanation for Statement 1.
  done clear
  C)
                                          Statement 1 is true; Statement 2 is false.
  done clear
  D)
                                          Statement 1 is false; Statement 2 is true.
  done clear
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