Find the value of k if f(x) is continuous at $x = \frac{\pi}{2}$, when $f(x) =\begin{cases}\frac{k \cos x}{\pi - 2x }\;;\; x \neq \frac{\pi}{2} \\ 3 ,\; \; \; \; \; \; \; \; \; x = \frac{\pi}{2} \end{cases}$

Question

$(A)\; k = -6$
$(B)\; k = 6$
$(C)\; k = 5$
$(D)\; k = -5$