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) \[\frac{\sqrt{({{g}^{2}}+{{f}^{2}}-c)}}{c}\]
Correct Answer: B
Solution :
\[\operatorname{Area} of quadrilateral = 2 [ area of AOAC]\] \[=\,\,2.\frac{1}{2}OA.AC=\sqrt{{{S}_{1}}}.\sqrt{{{g}^{2}}+{{f}^{2}}-c}\] Point is \[(0,0)\,\,\Rightarrow \,\,{{S}_{1}}=c\] \[\therefore \,\,\,Area=\sqrt{c({{g}^{2}}+{{f}^{2}}-c)}\]You need to login to perform this action.
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