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 :
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)