The number of common tangents that can be drawn to the circle x2+y2−4x−6y−3=0 and x2+y2+2x+2y+1=0 is

The two circles are x2+y2−4x−6y−3=0 and x2+y2+2x+2y+1=0. The coordinates of the centres and radii are:Centres:  C1(2,3) C2(−1,−1)Radii:  r1=4 r2=1Clearly C1C2=5=r1+r2Therefore, there are 3 common tangents to the given circles