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NDA 2013
Exam
NDA
Year
2013
Subject
Mathematics
Chapter
Area Under Curves

NDA 2013 · Mathematics · Area Under Curves

What is the area bounded by the lines x=0 , y=0 and x+y+2=0 ?

What is the area bounded by the lines x=0x=0, y=0y=0 and x+y+2=0x+y+2=0 ?

Options

  1. A12\frac{1}{2} square unit
  2. B1 square units
  3. C2 square units
  4. D4 square units

Correct answer

C. 2 square units

Step-by-step solution

Required area is the shadedtriangleOAB,itsareashaded triangle OAB , its areaA=12∣OA∣⋅∣OB∣=12∣2∣⋅∣2∣=2 square units. \begin{aligned} \mathrm{A} & =\frac{1}{2}|\mathrm{OA}| \cdot|\mathrm{OB}| \\ & =\frac{1}{2}|^{2}| \cdot|^{2}|=2 \text{ square units. } \end{aligned}$$
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