A) 13cm
B) 169 cm
C) 26 cm
D) None of these
Correct Answer: A
Solution :
Let radius be r, then In \[\Delta OMD,\,{{r}^{2}}=O{{M}^{2}}+M{{D}^{2}}\] \[{{r}^{2}}={{12}^{2}}+{{x}^{2}}\] ?..(i) In \[\Delta OLB,\,\,{{r}^{2}}=L{{B}^{2}}+O{{L}^{2}}\] \[{{r}^{2}}={{(17-x)}^{2}}+{{5}^{2}}\] ...(ii) Comparing of both equations, \[{{12}^{2}}+{{x}^{2}}={{(17-x)}^{2}}+25\] \[43x=170\Rightarrow x=\frac{170}{34}=5\] and \[{{r}^{2}}={{12}^{2}}+{{5}^{2}}\] \[=144+25=169\] \[\therefore \] \[r=13\,cm\]You need to login to perform this action.
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