A) 13 cm
B) 169 cm
C) 26 cm
D) None of these
Correct Answer: A
Solution :
Let radius be r, then In\[\Delta OMD,{{r}^{2}}=O{{M}^{2}}+M{{D}^{2}}\] \[{{r}^{2}}={{12}^{2}}+{{x}^{2}}\] \[\Delta OMD,\,\,{{r}^{2}}=L{{B}^{2}}+O{{L}^{2}}\] \[\Rightarrow \] \[\,{{r}^{2}}=(17-x)+{{5}^{2}}\] ?(i) Comparing of both equations, \[\,{{12}^{2}}+{{x}^{2}}={{(17-x)}^{2}}+25\] \[\Rightarrow \] \[34x=170\Rightarrow x=\frac{170}{34}=5\] 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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