A) \[4:1\]
B) \[2:1\]
C) \[3:1\]
D) None of these
Correct Answer: A
Solution :
| [a] Let the radii of the circles be \[{{r}_{1}}\] and\[{{r}_{2}},\] then |
| \[{{r}_{1}}+{{r}_{2}}=15\] (given) ...(1) |
| and \[\pi r_{1}^{2}+\pi r_{2}^{2}=153\pi \] (given) ...(2) |
| \[r_{1}^{2}+r_{2}^{2}=153\] |
| \[r_{1}^{2}+(15-r_{1}^{2})=153\] |
| On solving, we get |
| \[{{r}_{1}}=12\]and \[{{r}_{2}}=3\] |
| Required ratio \[=12:3=4:1\] |
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