Manipal Entrance Test 2020 Math Paper

Given equations of circles are
x2+y2=4
and x2+y2−8x+12=0
x2+y2=(2)2or quad‌x2+y2=(2)2.....(i)
(x−4)2+(y−0)2=(2)2....(ii)
The figure of both the circles are shown below:From figure, we see that there is exactly three common tangents.