Let the circles C1 : (x - α)2 + (y - β)2 = \(\rm r_1^2\) and C2 : (x - 8)2 + \(\left(y-\frac{15}{2}\right)^2=r_2^2\) touch each other externally at the point (6, 6). If the point (6, 6) divides the line segment joining the centres of the circles C1 and C2 internally in the ratio 2 : 1, then (α + β) + \(4\left({r}_1^2+{r}_2^2\right)\) equals
1
110
2
130
3
125
4
145