AP EAMCET Engineering 18 Sep 2020 Shift 2 Paper

Centre of circle cuts the circles
S1:x2+y2+4x+3=0
S2:x2+y2−12x+35=0
Radical Axis is S1−S2=0⇒x=2
and (2,0) lies on the line segment joining centres of circles S1 and S2
Minimum radius = length of tangent from (2,0) to circle S1=0 (or) S2=0
=√4+8+3=√15