Differentiation & Applications · JEE Main previous year questions

2018 2 questions

1. Q122018 · 15 Apr 2018 · Shift 1

   If a right circular cone, having maximum volume, is inscribed in a sphere of radius 3 cm, then the curved surface area (in ${\text{cm}}^2$) of this cone is :

   1. A.$6\sqrt{2}\pi$
   2. B.$6\sqrt{3}\pi$
   3. C.$8\sqrt{2}\pi$
   4. D.$8\sqrt{3}\pi$
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   Answer: D

2. Q92018 · 8 Apr 2018 · Shift 1

   Let $f(x)=x^2+\frac{1}{x^2}$ and $g(x)=x-\frac{1}{x}$, $x\in R-\{-1,0,1\}$. If $h(x)=\frac{f(x)}{g(x)}$, then the local minimum value of h(x) is

   1. A.$2\sqrt{2}$
   2. B.$3$
   3. C.$-3$
   4. D.$-2\sqrt{2}$
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   Answer: A