If \(\frac{{1\; + \;px}}{{1\; -\; px}}\sqrt {\frac{{1\; - \; qx}}{{1\; + \;qx}}} = 1,\;\)then what are the non-zero solutions of x?

• A. \(\pm \frac{1}{p}\sqrt {\frac{{2p - q}}{q}} ,\;2p \ne q\)
• B. \(\pm \frac{1}{{pq}}\sqrt {p - q} ,\;p \ne q\)
• C. \(\pm \frac{p}{p}\sqrt {p - q} ,\;p \ne q\)
• D. \(\pm \frac{q}{p}\sqrt {2p - q} ,\;2p \ne q\)