If $|x| < \large\frac{1}{2}$, then the coefficient of 'x' in the expansion of $\large\frac{1+2x}{(1-2x)^2}$ is :

Question

$$\begin {array} {1 1} (a)\;r2^r & \quad (b)\;(2r-1)2^r \\ (c)\;r2^{2r+1} & \quad (d)\;(2r+1)2^r \end {array}$$