JEE Advanced 2020 Full Test 2 Paper 2

Five circles Si=0,i=1,2,3,4,5 have centres respectively at C1(0,0),C2(2,2),C3(6,10),C4(1,−2),C5(4,−3) and the line y=mx+c is common tangent to all five circles such that C1,C2,C3 lie on one side and C4,C5 lie on other side of the tangent it is given that the sum of radii of S1=0 and S2=0 is equal to radius of S4=0 and also sum of radii of S2=0 and S3=0, is equal to the radius of S5=0, then: