Differentiation & Applications · JEE Main previous year questions

2010 2 questions

1. Q102010 · 25 Apr 2010 · Shift 1

   Let $f:R\to R$ be defined by $$f(x)=\{\begin{array}{ll}k-2x,\text{ if }& x\le -1\\ 2x+3,\text{ if }& x>-1\end{array}$$ If $f$has a local minimum at $x=-1$, then a possible value of $k$ is

   1. A.$0$
   2. B.$-\frac{1}{2}$
   3. C.$-1$
   4. D.$1$
   Show answer

   Answer: C

2. Q272010 · 25 Apr 2010 · Shift 1

   The equation of the tangent to the curve $y=x+\frac{4}{x^2}$, that is parallel to the $x$-axis, is

   1. A.$y=1$
   2. B.$y=2$
   3. C.$y=3$
   4. D.$y=0$
   Show answer

   Answer: C