Solved papers for JEE Main & Advanced JEE Main Paper (Held On 9 April 2016)

done JEE Main Paper (Held On 9 April 2016) Total Questions - 2

• question_answer1) If the function \[f(x)=\left\{ \begin{matrix}    -x, & x<1  \\    a+{{\cos }^{-1}} & (x+b),1\le x\le 2  \\ \end{matrix} \right.\] is differentiable at x = 1, then\[\frac{a}{b}\]is equal to :
  A)
  \[\frac{-\pi -2}{2}\]                         
  done clear
  B)
  \[-1-{{\cos }^{-1}}(2)\]
  done clear
  C)
  \[\frac{\pi +2}{2}\]         
  done clear
  D)
  \[\frac{\pi -2}{2}\]
  done clear
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• question_answer2) If f(x) is a differentiable function in the interval \[(0,\,\,\infty )\] such that f(1) = 1 and \[\underset{t\to x}{\mathop{Lim}}\,\frac{{{t}^{2}}f(x)-{{x}^{2}}f(t)}{t-x}=1,\]for each x > 0, then \[f\left( \frac{3}{2} \right)\] is equal to :   JEE Main Online Paper (Held On 09 April 2016)
  A)
  \[\frac{13}{6}\]                                
  done clear
  B)
  \[\frac{23}{18}\]
  done clear
  C)
  \[\frac{25}{9}\]                                
  done clear
  D)
  \[\frac{31}{18}\]
  done clear
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