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Consider the functions \( \mathrm{f}(\mathrm{x}) \) and \( \mathrm{g}(\mathrm{x}) \), both defined from \( \mathrm{R} \) \( \rightarrow \mathrm{R} \) and are defined as \( \mathrm{f}(\mathrm{x})=2 \mathrm{x}-\mathrm{x}^{2} \) and \( \mathrm{g}(\mathrm{x})=\mathrm{x}^{\mathrm{n}} \) where
P \( n \in N \). If the area between \( f(x) \) and \( g(x) \) in first quadrant is

W. \( 1 / 2 \) then \( n \) is a divisor of
(a) 12
(b) 15
(c) 20
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