For the given circles 5x2+y2−6x−2y+1=0 and x2+y2+2x−8y+13=0 which of the following is true?

The centres of the given circles are C1(3,1) and C2(−1,4) and corresponding radii are r1=32+12−1=3and r=(−1)2+42−13=2 respectively.Now C1C2=(3+1)2+(1−4)2=5Clearly, C1C2=(3+1)2+(1−4)2=5So, given circles touch each other externally.