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Perpendicular Distance of a Point from a Line

The area of t...

Question

The area of the region (in sq. unit) bounded by the curve $y = | x - 1 |$ and $y = 1$ is equal to

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Solution

The given curve is $y = | x - 1 | .$

$∴$ Required area $= a r (Δ A B C) = \frac{1}{2} \cdot B C \cdot A M$
$= \frac{1}{2} \cdot 2 \cdot 1 = 1$ sq.unit

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