A) Touch each other internally
B) Touch each other externally
C) Cuts each other at two points
D) None of these
Correct Answer: A
Solution :
\[{{C}_{1}}(1,\ 2),\ {{C}_{2}}(0,\ 4),\ {{R}_{1}}=\sqrt{5},\ {{R}_{2}}=2\sqrt{5}\] \[{{C}_{1}}{{C}_{2}}=\sqrt{5}\] and \[{{C}_{1}}{{C}_{2}}=\ |{{R}_{2}}-{{R}_{1}}|\] Hence circles touch internally.
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