The area, in sq. units, enclosed by the lines x = 2, y = |x – 2| + 4, the X-axis and the Y-axis is equal to
Explanation:
We can plot x = 2 and y = |x - 2| + 4
The required area is sum of the triangle (orange) + rectangle (green).
Area of triangle (orange) = 1/2 × 2 × 2 = 2
Area of rectangle = 2 × 4 = 8
∴ Total required area = 2 + 8 = 10 sq. units.
Hence, option (b).
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