The distance between the chords of contact of the tangents to the circle \[{{x}^{2}}+{{y}^{2}}+2gx+2fy+c=0\]from the origin and the point \[(g,f)\]is

• A.            \[\frac{1}{2}\left( \frac{{{g}^{2}}+{{f}^{2}}-c}{\sqrt{{{g}^{2}}+{{f}^{2}}}} \right)\]     
• B.   \[\left( \frac{{{g}^{2}}+{{f}^{2}}-c}{\sqrt{{{g}^{2}}+{{f}^{2}}}} \right)\]
• C.            \[\frac{1}{2}\left( \frac{{{g}^{2}}+{{f}^{2}}-c}{{{g}^{2}}+{{f}^{2}}} \right)\]
• D.            None of these