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NDA 2022
Exam
NDA
Year
2022
Subject
Mathematics
Chapter
Area Under Curves

NDA 2022 · Mathematics · Area Under Curves

What is the area of the region bounded by x-|y|=0 and x-2=0 ?

What is the area of the region bounded by x−∣y∣=0x-|y|=0 and x−2=0?x-2=0 ?

Options

  1. A11
  2. B22
  3. C44
  4. D88

Correct answer

C. 44

Step-by-step solution

x=∣y∣Required area =2∫02xdx=2[x22]02=2×2=4\begin{aligned} & x=|y| \\ & \text{Required area }=2 \int_0^2 x d x=2\left[\frac{x^2}{2}\right]_0^2=2 \times 2=4\end{aligned}$$
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