A) 2
B) 1
C) 4
D) 3
Correct Answer: D
Solution :
The centres and radii of the circles are Centres: \[{{C}_{1}}\left( \frac{1}{2},\ 0 \right)\,\,,\ {{C}_{2}}\left( -\frac{1}{2},\ 0 \right)\] Radii: \[{{r}_{1}}=\frac{1}{2},\ {{r}_{2}}=\frac{1}{2}\] Clearly, \[{{C}_{1}}{{C}_{2}}={{r}_{1}}+{{r}_{2}}\]. Therefore the circles touch each other externally. Hence there are 3 common tangents.You need to login to perform this action.
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