1.

If OA and OB are the tangents form the origin to the circle \[{{x}^{2}}+{{y}^{2}}+2gx+2fy+c=0\] and C is the centre of the circle, the area of the quadrilateral OACD is

A. \[\frac{1}{2}\sqrt{c({{g}^{2}}+{{f}^{2}}-c)}\]
B. \[\sqrt{c({{g}^{2}}+{{f}^{2}}-c)}\]
C. \[c\sqrt{{{g}^{2}}+{{f}^{2}}-c}\]     
D. \[\frac{\sqrt{{{g}^{2}}+{{f}^{2}}-c}}{c}\]
Answer» C. \[c\sqrt{{{g}^{2}}+{{f}^{2}}-c}\]     


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