A) 1
B) 2
C) 3
D) 4
Correct Answer: C
Solution :
Centres of circles are \[{{C}_{1}}(2,\ 3)\] and \[{{C}_{2}}(-3,\ -9)\] and their radii are \[{{r}_{1}}=5\] and \[{{r}_{2}}=8\]. Obviously \[{{r}_{1}}+{{r}_{2}}={{C}_{1}}{{C}_{2}}\] i.e., circles touch each other externally. Hence there are three common tangents.
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