Limits, Continuity & Derivatives · NDA previous year questions

2014 28 questions

1. Q662014 · 20 Apr 2014

   What is the slope of the tangent to the curve $y={\sin }^{-1}({\sin }^{2}x)$ at $x=0$?

   1. A.0
   2. B.1
   3. C.2
   4. D.None of the above
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   Answer: A

2. Q672014 · 20 Apr 2014

   For the next two (02) items that follow: Consider the curve $y=e^{2x}$. What is the slope of the tangent to the curve at $(0,1)$?

   1. A.0
   2. B.1
   3. C.2
   4. D.4
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   Answer: C

3. Q682014 · 20 Apr 2014

   For the next two (02) items that follow: Consider the curve $y=e^{2x}$. Where does the tangent to the curve at $(0,1)$ meet the x-axis?

   1. A.$(1,0)$
   2. B.$(2,0)$
   3. C.$(-1/2,0)$
   4. D.$(1/2,0)$
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   Answer: C