Question:
The area (in sq units) bounded by the curves $y=|x|-1$ and $y=-|x|+1$ is
The area (in sq units) bounded by the curves $y=|x|-1$ and $y=-|x|+1$ is
Updated On: Aug 23, 2023
- 1
- 2
- $2\sqrt2$
- 4
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The Correct Option is B
Solution and Explanation
The correct answer is B:2
The curve equation;
\(y=|x|-1\)
and \(y=-|x|+1\)
\(\therefore \) we can represent it in the form;
\(y=-|x|+1\)={ \(^{-x+1,x≥0}_{x+1,x<0}\)
From the above Plotted figure;
QA=QB=OC=OD=1 units
\(\therefore \) \(AB=CD=BC=AD=\sqrt{2}\)units
Hence, area bounded by the region\(=(\sqrt{2})^2\)\(=2\)sq.units
The curve equation;
\(y=|x|-1\)
and \(y=-|x|+1\)
\(\therefore \) we can represent it in the form;
\(y=-|x|+1\)={ \(^{-x+1,x≥0}_{x+1,x<0}\)
From the above Plotted figure;
QA=QB=OC=OD=1 units
\(\therefore \) \(AB=CD=BC=AD=\sqrt{2}\)units
Hence, area bounded by the region\(=(\sqrt{2})^2\)\(=2\)sq.units
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Coordinates of a Point in Space
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