Area of the bounded region between the curve \(y = |x - 2|\) and the line \(y = 2\) is:
Answer & explanation
Correct answer: option 2
The correct answer is Option (2) → 4 square units
The graph of \(y = |x - 2|\) is a V shape with its vertex at (2, 0). It meets the line y = 2 where
\(|x - 2| = 2\)
\(x = 0\) or \(x = 4\)
So the bounded region is the triangle with vertices (0, 2), (4, 2) and (2, 0). Its base along y = 2 is 4 and its height is 2:
\(\displaystyle \text{Area} = \frac{1}{2} \times 4 \times 2 = 4\) square units