AP EAMCET · Maths · Area Under Curves
The area bounded by \(y-1=-|x|\) and \(y+1=|x|\) is
- A \(\frac{1}{2}\)
- B 1
- C 2
- D 0
Answer & Solution
Correct Answer
(C) 2
Step-by-step Solution
Detailed explanation
The given curves are \[ \begin{aligned} & y-1=-|x| \\ & y+1=|x| \end{aligned} \] Here, \(\mathrm{AC}=\sqrt{1+1}=\sqrt{2}\) Area of ACBD \(=4\) Area of AOC \(=4 \times \frac{1}{2} \times O \mathrm{OAOC}=4 \times \frac{1}{2} \times 1 \times 1=2\) \(\therefore\) Area of the…
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