A) One circle lies inside the other
B) One circle lies completely outside the other
C) Two circle intersect in two points
D) They touch each other
Correct Answer: D
Solution :
\[{{C}_{1}}=(3,\ 1),\ {{C}_{2}}(-1,\ 4),\ {{R}_{1}}=3,\ {{R}_{2}}=2\] \[{{C}_{1}}{{C}_{2}}=\sqrt{16+9}=5,\ {{R}_{1}}+{{R}_{2}}={{C}_{1}}{{C}_{2}}\] Hence circles touch externally.
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