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 - 1

• question_answer1) Let for i = 1, 2, 3, pi(x) be a polynomial of degree 2 in \[x,p{{'}_{i}}(x)\]and \[p'{{'}_{i}}(x)\]be the first and second order derivatives of \[{{p}_{i}}(x)\] respectively. Let,\[A(x)=\left[ \begin{matrix}    {{p}_{1}}(x) & {{p}_{1}}'(x) & {{p}_{1}}''(x)  \\    {{p}_{2}}(x) & {{p}_{2}}'(x) & {{p}_{2}}''(x)  \\    {{p}_{3}}(x) & {{p}_{3}}'(x) & {{p}_{3}}''(x)  \\ \end{matrix} \right]\]and \[B(x)={{[A(x)]}^{T}}A(x).\]Then determinant of B(x):   [JEE Main Online Paper ( Held On 11 Apirl  2014 )
  A)
  is a polynomial of degree 6 in x.
  done clear
  B)
  is a polynomial of degree 3 in x.
  done clear
  C)
  is a polynomial of degree 2 in x.
  done clear
  D)
  does not depend on x.
  done clear
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