Integral Calculus & Area · NDA previous year questions

2016 7 questions

1. Q852016 · 18 Sept 2016

   What is the area bounded by the curves $|y|=1-x^2$?

   1. A.4/3 square units
   2. B.8/3 square units
   3. C.4 square units
   4. D.16/3 square units
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   Answer: B

2. Q782016 · 17 Apr 2016

   For the next five (5) items that follow : Consider the function $$f(x)=|x-1|+x^2$$ where $x\in \mathbb{R}$. What is the area of the region bounded by $x$-axis, the curve $y=f(x)$ and the two ordinates $x=\frac{1}{2}$ and $x=1$?

   1. A.$\frac{5}{12}$ square unit
   2. B.$\frac{5}{6}$ square unit
   3. C.$\frac{7}{6}$ square units
   4. D.2 square units
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   Answer: A

3. Q792016 · 17 Apr 2016

   For the next five (5) items that follow : Consider the function $$f(x)=|x-1|+x^2$$ where $x\in \mathbb{R}$. What is the area of the region bounded by $x$-axis, the curve $y=f(x)$ and the two ordinates $x=1$ and $x=\frac{3}{2}$?

   1. A.$\frac{5}{12}$ square unit
   2. B.$\frac{7}{12}$ square unit
   3. C.$\frac{2}{3}$ square unit
   4. D.$\frac{11}{12}$ square unit
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   Answer: D

4. Q1052016 · 17 Apr 2016

   For the next two (2) items that follow : Consider the curves $f(x)=x|x|-1$ and $g(x)=\{\begin{array}{ll}\frac{3x}{2},& x>0\\ 2x,& x\le 0\end{array}$ What is the area bounded by the curves?

   1. A.$\frac{17}{6}$ square units
   2. B.$\frac{8}{3}$ square units
   3. C.2 square units
   4. D.$\frac{1}{3}$ square unit
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   Answer: B

5. Q1062016 · 17 Apr 2016

   For the next two (2) items that follow : Consider the lines $y=3x$, $y=6x$ and $y=9$ What is the area of the triangle formed by these lines?

   1. A.$\frac{27}{4}$ square units
   2. B.$\frac{27}{2}$ square units
   3. C.$\frac{19}{4}$ square units
   4. D.$\frac{19}{2}$ square units
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   Answer: A

6. Q1072016 · 17 Apr 2016

   For the next two (2) items that follow : Consider the lines $y=3x$, $y=6x$ and $y=9$ The centroid of the triangle is at which one of the following points?

   1. A.$(3,6)$
   2. B.$(\frac{3}{2},6)$
   3. C.$(3,3)$
   4. D.$(\frac{3}{2},9)$
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   Answer: B

7. Q1122016 · 17 Apr 2016

   For the next two (2) items that follow : Consider the curves $y=|x-1|$ and $|x|=2$ What is the area of the region bounded by the curves and $x$-axis?

   1. A.3 square units
   2. B.4 square units
   3. C.5 square units
   4. D.6 square units
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   Answer: C