TS EAMCET · Maths · Area Under Curves
The area of the region bounded by \(y=|x|\) and \(y=1-|x|\) is
- A \(\frac{1}{4}\)
- B \(\frac{1}{2}\)
- C \(\frac{3}{2}\)
- D 1
Answer & Solution
Correct Answer
(B) \(\frac{1}{2}\)
Step-by-step Solution
Detailed explanation
We have, \( y=|x| \text { and } y=1-|x| \) \(\therefore\) Required area \(=\) Area of square \(O A B C=(O A)^2\) \begin{aligned} & =\left(\sqrt{\left(0-\frac{1}{2}\right)^2+\left(0-\frac{1}{2}\right)^2}\right)^2 \\ & =\frac{1}{4}+\frac{1}{4}=\frac{1}{2} \text { sq unit }…
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