A) 2 AB
B) \[\sqrt{2}AB\]
C) \[\frac{1}{2}AB\]
D) \[\frac{1}{\sqrt{2}}AB\]
Correct Answer: D
Solution :
(d) \[OA=OB=OC=\frac{AB}{2}\] \[\therefore \]\[AC=\sqrt{O{{A}^{2}}+O{{C}^{2}}}\] =\[\sqrt{{{\left( \frac{AB}{2} \right)}^{2}}+{{\left( \frac{AB}{2} \right)}^{2}}}\] \[=\sqrt{\frac{A{{B}^{2}}+A{{B}^{2}}}{4}}=\sqrt{\frac{A{{B}^{2}}}{2}}=\frac{AB}{\sqrt{2}}\]
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