A) They touch each other
B) They intersect each other
C) One lies inside the other
D) None of these
Correct Answer: B
Solution :
\[{{r}_{1}}+{{r}_{2}}=2+\sqrt{21}\], \[{{C}_{1}}{{C}_{2}}=\sqrt{{{1}^{2}}+{{3}^{2}}}=\sqrt{10}\] Obviously\[{{r}_{1}}+{{r}_{2}}>{{C}_{1}}{{C}_{2}}\]. Hence circles cut each other.
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